curriculum vitae - department of mathematics - university of missouri

Curriculum Vitae—Carmen C. Chicone 1

Curriculum Vitae

1. Name Carmen C. ChiconeDate and Place of Birth March 4, 1946 at Elmira, New York

Position Professor of MathematicsAcademic Department Department of Mathematics

University of MissouriColumbia, MO 65211

Telephone (573) 882-6331 or 882-6221e-mail [email protected]

2. Home Address 500 Cumberland RoadColumbia, MO 65203

Telephone (573) 449-0368

3. Education 1968 B.A., Mathematics, SUNY at Albany1973 M.A., Mathematics, University of Wisconsin1977 Ph.D., Mathematics, University of Wisconsin

4. Research Interests

Dynamical Systems, Differential Equations,Mathematical Physics, and Applied Mathematics


5. Professional Appointments

1977–78 Visiting Assistant Professor, University of Missouri1978–84 Assistant Professor, University of Missouri1984–89 Associate Professor, University of Missouri1989– Professor, University of MissouriSummer 1985 Visiting Associate Professor,

Instituto Matematica Pura e Aplicada,Rio de Janerio, Brazil

Summer 1986 Visiting Associate Professor,Federal University of Rio de Janerio,Rio de Janerio, Brazil

Winter 1989 Visiting Professor,Limburgs Universitair Centrum,Diepenbeek, Belgium

Fall 2005 Adjunct Professorship in Veternary PathobiologyUniversity of Missouri

6. Publications

1. Quadratic Gradients on the Plane are Generically Morse-Smale, J. Differential Equations, 33 (1979), 159–166.

2. (With R. C. Swanson) Equivalence and Slice Theory for Sym-plectic Forms on Closed Manifolds, Proc. Amer. Math. Soc.,73 (1979), 265–270.

3. (With R. C. Swanson) Anosov Does Not Imply InfinitesimallyErgodic, Proc. Amer. Math. Soc., 75 (1979), 169–179.

4. (With R. C. Swanson) The spectrum of the Adjoint Represen-tation and the Hyperbolicity of Dynamical Systems, J. Differ-ential Equations, 36 (1980), 28–39.

5. (With P. Ehrlich) Line Integration of Ricci Curvature andConjugate Points in Lorentzian and Riemannian Manifolds,Manuscripta Math., 31 (1980), 279–316.

6. (With R. C. Swanson) Infinitesimal Hyperbolicity ImpliesHyperbolicity, Proceedings of the International Conferenceon Global Dynamical Systems–Evan-ston, Illinois, LectureNotes in Math., No. 819, Springer-Verlag, 50–64.


7. (With R. C. Swanson) A Generalized Poincare Stability Cri-terion, Proc. Amer. Math. Soc., 81 (1981), 495–500.

8. (With R. C. Swanson) Spectral Theory for Linearizations ofDynamical Systems, J. Differential Equations 40 (1981), 155–167.

9. Tangent Bundle Connections and The Geodesic Flow, RockyMountain J. of Mathematics 11 (1982), 305–318.

10. (With J. Beem and P. Ehrlich) The Geodesic Flow and Sec-tional Curvature of Pseudo-Riemannian Manifolds, Geome-tria Dedicata, 12 (1982), 111–118.

11. The Topology of Curl Parallel Solutions of Euler’s Equations,Israel Journal of Mathematics, 39 (1981), 161–166.

12. (With D. G. Retzloff) The Behavior of Catalytic Reactorsthat Exhibit Multiple Steady States and the Constraints itplaces on Their Design, Chemical Engineering Communica-tions, 12 (1981), 365–376.

13. (With T. Jing Huang) On General Properties of QuadraticSystems, Amer. Math. Monthly, 89 (1982), 167–178.

14. (With D. Shafer) Quadratic Morse-Smale Vector Fields Whichare not Structurally Stable, Proc. Amer. Math. Soc., 85 (1982),125–134.

15. (With D. G. Retzloff) Dynamics of the CR Equations Mod-eling a Constant Flow Stirred Tank Reactor, Journal of Non-linear Analysis, 6 (1982), 983–1000.

16. (With D. Shafer) Separatrix and Limit Cycles of QuadraticSystems and Dulac’s Theorem, Trans. Amer. Math. Soc., 278(1983), 585–612.

17. (With P. Ehrlich) Lorentzian Geodesibility, Differential Topol-ogy - Related Topics and their Applications to the PhysicalSciences and Engineering, G. M. Rassias, ed., Teubner-TexteZur Mathematik, No. 76, Leipzig, 1985, 77–99.

18. (With N. Kalton and I. Papick) A Converse for the Cayley-Hamilton Theorem, Amer. Math. Monthly, 92 (1985), 134–136.


19. (With P. Ehrlich) Gradient-Like and Integrable Vector Fieldson R2, Manuscripta Math., 49 (1984), 141–164.

20. (With J. Sotomayor) On a Class of Complete PolynomialVector Fields in the Plane, J. of Differential Equations, 61(1986), 398–418.

21. Limit Cycles of a Class of Polynomial Vector Fields in thePlane, J. of Differential Equations, 63 (1986), 68–87.

22. (With D. Retzloff, et. al.) Maximum Multiplicity of the Crit-ical Points of the CR Equation Modeling a Constant FlowStirred Tank Reactor, J. of Mathematical Analysis and Ap-plications, 124 (1987), 327–338.

23. (With D. Retzloff, et. al.) Chaotic Behavior in the Dynam-ical System of a Continuous Stirred Tank Reactor, Physica,25D (1987), 131–154.

24. (With J. Gerlach) A Note on Identifiability of DistributedParameters in Elliptic Equations, SIAM J. Math. Anal., 18(1987), 1378–1384.

25. (With J. Gerlach) Identifiability of Distributed Parameters,Alpine-U. S. Seminar on Inverse and Ill-Posed Problems,Academic Press. 1988.

26. The Monotonicity of the Period Function for Planar Hamil-tonian Vector Fields, J. of Differential Equations, 69 (1987),310–321.

27. Geometric Methods for Two Point Nonlinear Boundary ValueProblems, J. of Differential Equations, 72 (1988), 360–407.

28. (With F. Dumortier) A Quadratic System with a Non-monotonicPeriod Function, Proceedings of the Amer. Math. Soc., 102(1988), 706–710.

29. (With D. Retzloff, et. al.) The Dynamic Behavior and Chaosfor Two Parallel Reactions in a Continuous Stirred Tank Re-actor, Chem. Eng. Comm., 57 (1987), 105–138.

30. (With M. Jacobs) Bifurcation of Critical Periods for PlaneVector Fields, Trans. Amer. Math. Soc., 312 (1989), 433–486.


31. (With M. Jacobs) On a Computer Algebra Aided Proof inBifurcation Theory, Computer Aided Proofs in Analysis, K.Meyer and D. Schmidt Eds., IMA Volumes in Mathemat-ics and Its Applications, Vol 28, Springer-Verlag, New York,1991, 52–70.

32. (With M. Jacobs) Bifurcation of Limit Cycles From QuadraticIsochrones, J. of Differential Equations, 91 (1991), 268–327.

33. (With M. Ashbaugh and R. Cushman) The Twisting TennisRacket, J. of Dynamics and Differential Equations, 3 (1991),67–85.

34. On Bifurcation of Limit Cycles From Centers, Lecture Notesin Mathematics, 1455 (1991), 20–43.

35. (With D. Retzloff, et. al.) Maximal Multiplicity for Sequen-tial Bifurcations of a First Order Reaction Occurring in Con-tinuous Stirred Tank Reactors Coupled in Series, SIAM J.Applied Math., 52 (4) (1992), 1136–1147.

36. (With L. Forker, et. al.) A Parameter Identification ProblemArising From a Model of Canalicular Bile Formation, J. ofMathematical Biology, 31 (1993), 273–289.

37. Bifurcations of Nonlinear Oscillations and Frequency En-trainment Near Resonance, SIAM J. Math. Analy., 23 (6)(1992), 1577–1608.

38. (With F. Dumortier) Finiteness For Critical Points of thePeriod Function for Analytic Vector Fields on the Plane,Nonlinear Analysis: Theory, Methods and Applications, 20(4) (1993), 315–335.

39. Lyapunov-Schmidt Reduction and Melnikov Integrals for Bi-furcation of Periodic Solutions in Coupled Oscillators, J. ofDifferential Equations, 112 (1994), 407–447.

40. (With D. Retzloff, et. al.) Multiple Solutions of a NonlinearBoundary Value Problem with Application to Chemical Re-actor Dynamics, J. Math. Analy. and Applications, 185 (3)(1994), 501–519.

41. Periodic Solutions of a System of Coupled Oscillators NearResonance, SIAM Journal of Mathematical Analysis, 26(5)


(1995), 1257–1283.

42. (With Yu. Latushkin) Quadratic Lyapunov Functions forLinear Skew-Product Flows and Weighted Composition Op-erators, Diff. and Integ. Eqs., 8 (1995), 289–308.

43. (With Yu. Latushkin) Hyperbolicity and Dissipativity, Lec-ture Notes in Pure and Appl. Math., Vol. 168, Proceedingsof the International Conference “Evolutionary Equations”,Baton Rouge, LA, 1993, 95–106.

44. (With Yu. Latushkin and D. Retzloff) Chemical Reactor Dy-namics: Stability of Steady States, Mathematical Methods inThe Applied Sciences, 19 (1996), 381–400.

45. (With Yu. Latushkin and S. Montgomery-Smith) The Spec-trum of the Kinematic Dynamo Operator for an Ideally Con-ducting Fluid, Comm. Math. Phy., 173 (2) (1995), 379–400.

46. A Geometric Approach to Regular Perturbation Theory WithAn Application to Hydrodynamics, Trans. Amer. Math.Soc., 374 (12) (1995), 4559–4598.

47. (With Yu. Latushkin) The Geodesic Flow Generates a FastDynamo: an Elementary Proof, Proc. Amer. Math. Soc.,125 (11) (1997), 3391–3396.

48. (With Yu. Latushkin and S. Montgomery-Smith) The An-nular Hull Theorem for the Kinematic Dynamo Operator foran Ideally Conducting Fluid, Indiana Univ. Math. J., 45(2) (1996), 361–379.

49. (With B. Mashhoon and D. Retzloff) Gravitational Ioniza-tion: Periodic Orbits of Binary Systems Perturbed by Grav-itational Radiation, Annales de I’Institut Henri Poincare-Physique Theorique, 64 (1) (1996), 87–125.

50. (With C. Ahlbrandt, S. Clark, W. Patula and D. Steiger) Ap-proximate First Integrals for Discrete Hamiltonian Systems,Dynamics of Continuous, Discrete, and Impulsive Systems,2 (2) (1996), 237–264.

51. Periodic Orbits of Coupled Oscillators Near Resonance, Dif-ferential Equations and Dynamical Systems (Special Issue),5 (3/4) (1997), 203–228.


52. (With B. Mashhoon and D. Retzloff) On the Ionization ofa Keplerian Binary System by Periodic Gravitational Radia-tion, J. Math. Physics A, 37 (1996), 3997–1416.

53. (With B. Mashhoon and D. Retzloff) Addendum: On theIonization of a Keplerian Binary System by Periodic Gravi-tational Radiation, J. Math Physics, 38 (1) (1997), 554.

54. (With B. Mashhoon and D. Retzloff) Gravitational Ioniza-tion: A Chaotic Net in the Kepler System, Classical andQuantum Gravity, 14 (1997), 699–723.

55. (With B. Mashhoon and D. Retzloff) Evolutionary Dynam-ics While Trapped in Resonance: A Keplerian Binary SystemPerturbed by Gravitational Radiation, Classical and Quan-tum Gravity 14 (1997), 1831–1850.

56. Invariant Tori for Periodically Perturbed Oscillators, Publi-cacions Matematiques 41 (1997), 57–83.

57. (With Yu. Latushkin) Center Manifolds for Infinite Dimen-sional NonAutonomous Differential Equations, J. of Differ-ential Equations, 141 (2) (1997) 356–399.

58. (With B. Biler) A Generalization of the Inertia Theorem forQuadratic Matrix Polynomials, Linear Algebra and its Ap-plications, 280 (1998), 229–240.

59. (With W. Liu) On the Continuation of an Invariant Torusin a Family with Rapid Oscillations, SIAM J. Math. Analy.,31 (2) (2000), 386–415.

60. (With B. Mashhoon and D. Retzloff) Chaos in the KeplerSystem, Classical and Quantum Gravity, 16 (1999), 507–527.

61. (With B. Mashhoon and D. Retzloff) Chaos in the Hill Sys-tem, Helvetica Physica Acta, 72 (1999), 123–157.

62. (With M. Rhouma (Ben Mohamed)) On the Continuation ofPeriodic Orbits, Meth. Appl. Anal., 7 (1) (2000), 85–104.

63. (With B. Mashhoon and D. Retzloff) Sustained Resonance:a Binary System Perturbed by Gravitational Radiation, J. ofPhysics A: Math. Gen., 33 (2000), 513–530.


64. (With R. C. Swanson) Linearization via the Lie derivative,Electron. J. Diff. Eqns., Monograph 02, 2000, 65 pages(http://ejde.math.swt.edu).

65. (With X. Xin and Z. Chen) Analytical Solution for DynamicFailure Evolution with a Nonlinear Local Damage Model, J.Appl. Mechanics, 68 (2001), 835–843.

66. (With S. Kopeikin, B. Mashhoon, and D. Retzloff) DelayEquations and Radiation Damping, Phys. Letters A, 285(2001), 17–26.

67. What are the equations of motion of classical physics?, Can.Appl. Math. Quar., 10 (2003), 15–32.

68. (with B. Mashhoon) Acceleration-induced Nonlocality: Ki-netic Memory Versus Dynamic Memory, Annalen der Physik(Leipzig), 11 (4) (2002), 309–332.

69. Inertial and slow manifolds for delay equations with smalldelays, J. Differential Equations, 190 (2003), 364–406.

70. (with N. Kalton) Flat embeddings of the Mobius Strip in R3,Comm. Appl. Nonl. Analy., 9 (2) (2002), 31–50.

71. (with B. Mashhoon) Acceleration-induced Nonlocality: Unique-ness of the Kernel, Physics Letters A, 298 (2002), 229–235.

72. (with B. Mashhoon) The Generalized Jacobi Equation, Clas-sical and Quantum Gravity, 19 (2002), 4231–4248.

73. (with Z. C. Feng) A delay differential equation model for sur-face acoustic wave sensors, Sensors and Actuators A: Physi-cal, 104 (2002), 171–178.

74. (with Z.C.. Feng) Synchronization Phenomena for coupleddelay-line oscillators, Physica D, 198 (2004), 212–230.

75. (with B. Mashhoon and B. Punsly), Dynamics of relativis-tic flows, International Journal of Modern Physics, 13 (5)(2004), 945–959.

76. Inertial flows, slow flows, and combinatorial identities fordelay equations, J. Dynamics and Differential Equations, 16(3) (2004), 805–831.


77. (with W. Liu) Asymptotic phase revisited, J. Differential Equa-tions, 204 (2004), 227–246.

78. (with B. Mashhoon) Significance of c/√

2 in relativistic physics,Classical and Quantum Gravity, Letter to the Editor, 21(2004), L139–L144.

79. (with B. Mashhoon and B. Punsly), Relativistic motion ofspinning particles in a gravitational field, Physics Letters A,343 (2005), 1–7.

80. (with B. Mashhoon) Tidal Dynamics of Relativistic FlowsNear Black Holes, Annalen der Physik, (Leipzig), 14 (2005),1–19.

81. (with B. Mashhoon) Ultrarelativistic motion: inertial andtidal effects in Fermi coordinates, Classical and QuantumGravity, 22 (2005), 195–205.

82. (with J. Benson and J. Critser) Exact solutions of the Ja-cobs two parameter flux model and cryobiological applica-tions, Journal of Cryobiology, 53 (3), (2005), 308–316.

83. (with B. Mashhoon) A graviational mechanism for the ac-celeration of ultrarelativistic particles, Annalen der Physik,(2005), In press.

84. (with Z.C. Feng and D.-B. Seo) Synchronization problem indelay-line oscillator SAW sensors, Sensors and Actuators,121/1, (2005), 44–51.

85. (with B. Mashhoon) Tidal acceleration of ultrarelativistic par-ticles, Astronomy and Astrophysics, 437, (2005), L39–L42.

86. (with B. Mashhoon) A gravitational mechanism for the ac-celeration of ultrarelativistic particles, Annalen der Physik,14, (2005), 751–763.

87. (with B. Mashhoon) Tidal Dynamics in Kerr Spacetime, Clas-sical and Quantum Graavity, 23, 2006, 4021–4033.

88. (with B. Mashhoon) Explicit Fermi coordinates and tidal dy-namics in de Sitter and Godel Spacetimes, Physical ReviewD, 74(6), (2006), 064019(13).


89. (with F. Feng and M. Heitzman) Transient Response of Ta-pered Elastic Bars, Journal of Applied Mechanics, 74, (2007),677–685.

90. (with M. Heitzman),The field theory two-body problem inacoustics, General Relativity and Gravitation, 40(5) (2008)1087–1107.

91. (with K. Felts), Non-monotone period functions for impactoscillators, Electronic Journal of Differential Equations, 44(2008), 1–9.

92. (with B. Mashhoon), Nonlocal Lagrangians for acceleratedsystems, Ann. Phys., 16(12), 811–823.

93. (with O. Bihun), Deformation minimal bending of compactmanifolds: Case of simple closed curves, Opuscula Mathe-matica, 28(1) (2008), 19–28.

94. (with B. Donato, C. Cherubini, B. Mashhoon)GravitationalInduction, Classical and Quantum Gravity, 25 (2008), 1–14.

95. (with Z.C. Feng) Power harvesting from rotation?, EuropeanJournal of Physics, 29 (2008), 1115–1120.

96. (with B. Mashhoon)Time-varying Lense-Thirring systems,Classicaland Quantum Gravity, 25(22) (2008), (http://iopscience.iop.org/0264-9381/25/22/225003)

97. (with K. Felts and B. Mann) Observation and investiga-tion of a non-monotonic period function for an impact os-cillator,Communications in Nonlinear Science and NumericalSimulation, 14 (5) (2009) 2415–2425.

98. (with O. Bihun), Distortion minimal morphing I: The the-ory for stretching, Rocky Mountain Journal of Mathematics,39(1) (2009) 11–25.

99. (with O. Bihun and S. Harris) Minimal distortion morphsgenerated by time-dependent vector fields, Submitted.


7. Encyclopedia Articles

1. Stability theory for ordinary differential equations, Encyclo-pedia of Complexity and System Science, Springer-Verlag,Accepted (2007).

8. Books

1. An Invitation to Applied Mathematics, Started in 2006; 160pages written to date.

2. Ordinary Differential Equations with Applications, Texts inApplied Mathematics, New York: Springer-Verlag, 1999.

3. Ordinary Differential Equations with Applications, 2nd Ed.,Texts in Applied Mathematics, New York: Springer-Verlag,2006.

4. Evolution Semigroups in Dynamical Systems and DifferentialEquations, Co-author Yuri Latushkin, SURV, Philadelphia:American Mathematical Society, 1999.

9. Book Reviews

1. Introduction to the Algebraic Theory of Invariants of Differ-ential Equations, by K. S. Sibirsky, Manchester UniversityPress, Manchester, 1988. Review published in SIAM Review,32 (1990), 491–493.

2. Finiteness Theorems for Limit Cycles, by Yu. Il’yashenko,AMS Translations of Mathematical Monographs, No. 94,1991. Review published in Bulletin American MathematicalSociety, 28 (1) (1993), 123–130.

3. Basic Theory of Ordinary Differential Equations, by Y. Sibuyaand Po-Fang Hsieh, Universitext, Springer-Verlag, New York,1999. Featured Review in Mathematical Reviews MR 2000g:34001.

4. The Arnoldfest: Proceedings of a conference in Honour ofV.I. Arnold for His Sixtieth Birthday, Eds. E. Bierstone, B.Khesin, A. Khovanskii, and J. Marsden, AMS, Providence,1999 in SIAM Review 42 (4) (2000), 745–747.

5. The Chaos avant-garde, Eds. R. Abraham and Y. Ueda,World Scientific, Singapore, MR MR1887915 (2003e:37002)


6. Ordinary Differential Equations, David Sanchez, WashingtonDC, Math. Assoc. Amer., MR 1903201 (2003b:34001)

7. Introduction to Dynamical Systems, SIAM Review, 46 (1)(2004), 157–162.

8. Introduction to Applied Nonlinear Dynamical Systems andChaos, 2nd Ed., S. Wiggins, Springer-Verlag, MathematicalReviews, MR2004534, 2004.

9. Dynamics Beyond Uniform Hyperbolicity, C. Bonatti, L. Dıaz,and M. Viana, Springer-Verlag, SIAM Reviews, 47 (4) (2005),816–818.

10. Ordinary Differential Equations, 3rd Ed., V. Arnold, Springer-Verlag, SIAM Reviews, 49 (2007), 335–337.

10. Invited Addresses

1. Quadratic Planar Systems, Northwestern, 1978.

2. Formulae for the Nth Prime, Pi Mu Epsilon, 1978.

3. Infinitesimal Hyperbolicity implies Hyperbolicity, Interna-tional Conference on Global Dynamical Systems, 1979.

4. Spectral Theory for Vector Bundle Flows, Oakland Univer-sity, Rochester, MI 1980.

5. Dulac’s Problem, University of Wisconsin, 1981.

6. Contact Forms on 3-Manifolds and Curl Parallel Solutions ofEuler’s Equations, University of Cincinnati, May 1981.

7. On Hilbert’s 16th Problem and Dulac’s Theorem, Univ. ofNorth Carolina-Charlotte, February 1982.

8. Limit Cycles of Quadratic Systems, UMC-Rolla, April 1983.

9. Hilbert’s 16th problem, Montana State University, Aug. 1983.

10. Limit Cycles of Polynomial Vector Fields, University of Ne-braska, Sept. 1984.

11. Existence and Uniqueness of Limit Cycles for a Class ofPolynomial Vector Fields, Northern Arizona University, Dec.1984.


12. Geometric Methods in Boundary Problems, Instituto Math-ematica Pura e Aplicada, Rio de Janerio Aug. 1985.

13. Geometric Methods for Nonlinear Two Point Boundary ValueProblems, Federal University of Rio de Janerio, Aug. 1986.

14. The Period Function and Nonlinear Boundary Value Prob-lems, Montana State University-Bozeman, Sept. 1986.

15. The Period Function with Applications to Nonlinear Bound-ary Value Problems, North Carolina State University, Nov.1986.

16. Bifurcation of Critical Periods for Plane Vector Fields, Uni-versity of Cincinnati, April 1987.

17. Bifurcation of Critical Periods for Plane Vector Fields, Uni-versite de Montreal, August 1987.

18. Bifurcation of Critical Periods for Plane Vector Fields, Inter-national Conference on Theory and Applications of Differen-tial Equations, Columbus, Ohio, March 1988.

19. Bifurcation of Critical Periods for Plane Vector Fields, Uni-versity of North Carolina-Charlotte, March 1988.

20. Bifurcation of Critical Periods for Plane Vector Fields, SIAMAnnual Meeting, Proofs in Dynamical Systems and AnalysisUsing the Computer, Minneapolis, July 1988.

21. Bifurcation of Critical Periods for Plane Vector Fields, Uni-versity of Cincinnati, November 1988.

22. The Period Function for Plane Vector Fields, Limburgs Uni-versitair Centrum, Belgium, January 1989.

23. The Problem of the Isochrone, Limburgs Universitair Cen-trum, Belgium, January 1989.

24. Period Functions for Planar Hamiltonian Systems, LimburgsUniversitair Centrum, Belgium, February 1989.

25. Bifurcation of Period Functions, Technical Institute Delft,The Netherlands, January, 1989.

26. Bifurcation of Period Functions, Universite de Bourgogne,Dijon, March, 1989.


27. Bifurcation of Period Functions, Conference on ComputerAssisted Proofs in Analysis, University of Cincinnati, Cincin-nati, March, 1989.

28. Bifurcations of Plane Vector Fields, Workshop on Qualita-tive theory of Plane Vector Fields, Universite de Montreal,Montreal, August 1989.

29. Oberwolfach Conference on Interval Methods for NumericalComputations, March 1990, (Invitation Declined).

30. Bifurcations From Isochrones, CIRM Conference on Bifur-cations and Periodic Orbits of Plane Vector Fields, Luminy,France, September, 1989.

31. Bifurcations of Limit Cycles for Plane Vector Fields, 19th

Midwest Differential Equations Conference, Rolla, October1990.

32. Bifurcations of Nonlinear Oscillations, Midwest DynamicalSystems Conference, Northwestern University, Evanston, March1991.

33. Bifurcation of Subharmonics, Northwestern University, Evanston,June 1991.

34. Bifurcation of Subharmonics, UMSL, St. Louis, December1991.

35. Lyapunov-Schmidt Reduction for Bifurcation of Periodic So-lutions Near Resonance, SIAM Dynamical Systems, Snow-bird, Utah, Oct. 1992: (Contributed Talk and Session Chair)

36. A geometric approach to regular perturbation theory, Lim-burgs University Centrum, Dipenbeek, Belgium, October 1993.

37. Deterministic Chaos, Department of Nuclear Engineering,UMC, November, 1993.

38. A geometric approach to regular perturbation theory, Uni-versite de Montreal, February, 1994.

39. A geometric approach to regular perturbation theory, AMSRegional Meeting (Special Session), Manhattan, KS, March1994.


40. Recent results on the fast dynamo problem, Department ofPhysics, UMSL September, 1994.

41. Recent results on the fast dynamo problem, Center for Ap-plied Mathematics, Cornell University, Ithaca, NY, October,1994.

42. Dynamics and control for motor driven linkages, CanadianMathematical Society Annual Meeting, Montreal, December,1994.

43. Dynamics of the damped displaced pendulum, Departmentof Physics, UMC, February, 1995.

44. Periodic Solutions, Passage Through Resonance, and Chaosfor Coupled Oscillators, Department of Mathematics, Uni-versity of North Carolina- Charlotte March 1995.

45. Recent Results on the Kinematic Dynamo, Department ofMathematics, Georgia Technical Institute, April 1995.

46. Lyapunov-Schmidt Reduction for Bifurcation at a Period Man-ifold, Department of Mathematics, Georgia Technical Insti-tute, April 1995.

47. Dynamics and Control of Motor Driven Linkages, SIAM Dy-namical Systems, Snowbird Utah, May 1995 (20 minute talk).

48. Periodic Solutions of Weakly Coupled Planar Oscillators,Department of Mathematics, Technical Institute Delft, TheNetherlands, September 1995.

49. Invitation Declined, CIRM Conference, Geometry of Differ-ential Equations, Luminy, France, September 1995.

50. Invitation Declined, Stefan Banach International Mathemat-ical Center, Singularities in Differential Equations and PfaffSystems, Warsaw, October 1995.

51. Invitation Declined, World Congress of Nonlinear Analyists,Special Session on Qualitative Theory of Differential Equa-tions, Athens, Greece, July 1996.

52. Gravitational Ionization, International Conference on Dy-namical Systems and Differential Equations, Springfield Mis-souri, June 1996.


53. Invariant Tori For Periodically Perturbed Oscillators, Inter-national Days of Applied Mathematics, Lleida, Spain, Novem-ber, 1996.

54. Invitation Declined, CIRM Conference, Plane PolynomialDifferential Systems, Luminy, France, September 1995.

55. Invitation Declined, Eighth International Colloquium on Dif-ferential Equations, Bulgaria, 1997.

56. Gravitational Ionization, Ph.D Centennial Conference, Spe-cial Session “The Legacy of Charles Conley” University ofWisconsin, May, 1997.

57. The Influence of Gravitational Radiation on a Keplerian Bi-nary, Plenary Address, Third Midwest-Southeastern AtlanticJoint Regional Conference on Ordinary Differential Equa-tions, November 1997.

58. Special Session at AMS Regional Meeting, Georgia TechnicalInstitute, October, 1997.

59. Invitation Declined, Ninth International Colloquium on Dif-ferential Equations, Plovdiv, Bulgaria, August 1998.

60. The Influence of Gravitational Radiation on a Keplerian Bi-nary, Northern Arizona University, March 1998.

61. Continuation of Invariant Tori, American Mathematical So-ciety Regional Meeting, Manhattan, Kansas, March 1998.

62. Continuation of Normally Hyperbolic Invariant Manifolds,SMSU, Springfield, Missouri, April 1998.

63. Continuation of Normally Hyperbolic Invariant Manifolds,Brown University, May 1998.

64. Continuation of Normally Hyperbolic Invariant Manifolds,Iowa State University, February 1999.

65. Continuation of Normally Hyperbolic Invariant Manifolds,Montana State University, August 1999.

66. What is the response of an oscillator to a periodic force?,UMC Department of Physics, September 1999.

67. Linearization via the Lie Derivative, SIAM Pacific Rim Dy-namical Systems, Maui, August 2000.


68. Smooth Linearization I&II (Talk (I) Center for DynamicalSystems Colloquium, Talk (II) Dynamics Seminar Depart-ment of Mathematics), Georgia Institute of Technology, Oc-tober 2000.

69. Smooth Linearization, Queens University, Ontario, October2000.

70. Delay Equations and Gravitational Radiation, Kansas StateUniversity, March, 2001.

71. Delay Equations and Gravitational Radiation, 22nd Meet-ing of the Canadian Applied&Industrial Mathematics Soci-ety, Victoria, BC, June, 2001.

72. The Surprising Power of Dirac Sequences, Gustavus Adol-phus College, September 2001.

73. Deterministic Chaos, Truman State University, December2001.

74. What are the Equations of Motion in Classical Mechanics?UNC-Charlotte, March 2002.

75. Inertial and Slow manifolds for Delay Equations, IME-USP,Sao Carlos, Brazil, June 2002.

76. Inertial and Slow manifolds for Delay Equations, Penn. StateUniversity, November 2002.

77. Asympotic Phase Revisited, Equadiff03, Hasselt Belgium, 2003.

78. Deterministic Chaos, SMSU, Springfield, 2003.

79. Water Waves, University of Virginia, Charlottesville, Octo-ber 2004.

80. Polar Coordinates, Truman State University, Kirksville, Novem-ber 2004.

81. (Invitation Declined) Recent Advances in Bifurcation Theoryand Applications of Dynamical Systems, Zhejiang NormalUniversity, PRC, March 2005.

82. A Delay Equation Arising in Acoustics, Special Session onDynamical Systems, Joint TMS-AMS International Mathe-matical Meeting, T’aichung, Taiwan, December 2005.


83. Optimization of the Distortion Energy of DiffeomorphismsBetween Compact Riemannian Manifolds, Autonomous Uni-versity of Barcelona, February 2007.

84. The compressible fluid two body problem, AMS Sectional Meet-ing Special Session on Dynamical Systems, De Paul Univer-sity, October 2007.


11. Service to Profession

Journal Editing:Editorial Board:

Communications on Applied Nonlinear Analysis, 1995–Editorial Board:

Proceedings of the American Mathematical Society, 1999–2008Editorial Board:

Nonlinear Differential Equations:Theory, Methods and Applications, 2002–

Editorial Board:Communications on Pure and Applied Analysis, 2002–

Editorial Board:Dynamics of Partial Differential Equations, 2004–

Editorial Board:International Journal of Evolution Equations, 2004–

Editorial Board:The Global Journal of Mathematics and MathematicalSciences, 2004–

Editorial Board:Advances in Dynamical Systems and Applications, 2005–

Editorial Board:International Journal of Dynamical Systems andDifferential Equations, 2006–

Editorial Board:Non-Autonomous Dynamical Systems and Applications, 2006–

Editorial Board:Advances in the Mathematical Sciences, 2006–

Editorial Board:Annals of Differential Equations, 2006–

Conference Organization:Midwest ODE Conference,

(With C. Ahlbrandt) University of Missouri–1986Computer Experimentation in Nonlinear Analysis,

(With R. Crownover) University of Missouri–1987Special Session Midwest ODE Conference,

(With Yu. Latushkin) University of Missouri–1993Midwest ODE Conference,


(With M. Ashbaugh, et. al.) University of Missouri–1993NSF-CBMS Conference: Approximation Dynamics,

(With Yu. Latushkin) University of Missouri–1995AMS Regional Meeting,

(With D. Edidin and L. Grafakos) University of Missouri–1996Fifth AIMS International Conference (Special Session)

(With Yu. Latushkin) Pomona, California–2004

Seventh AIMS International Conference (Special Session)(With Yu. Latushkin) Texas–2007

NSF Panel Review:Dynamical Systems and Ergodic Theory 2004

Referee:Abstract and Applied AlgebraAlgebras, Groups and GeometriesAmerican Mathematical MonthlyAmerican Mathematical Society Books Analyse NonlineaireAnnalen der PhysikAnnals of the Brazilian Academy of SciencesAnnales Scientifiques de L’Ecole Normale SuperieureApplied Mathematics LettersArabian Journal of Science and EngineeringCalculus of Variations and PDECanadian Mathematical BulletinClassical and Quantum GravityCollectanea MathematicaeCommunications in Mathematical PhysicsCommunications in Nonlinear Science and Numerical SimulationCommunications on Applied Nonlinear AnalysisCommunications on Pure and Applied AnalysisComplex Analysis and Operator TheoryComputers and MathematicsDifferential and Integral EquationsDiscrete and Continuous Dynamical Systems


Discrete Dynamics in Nature and SocietyDynamics and Stability of SystemsElectronic J. Differential EquationsEuropean J. PhysicsErgodic Theory and Dynamical SystemsExperimental MathematicsGeneral Relativity & GravitationIEEE Transactions on Biomedical EngineeringInternational Journal of Dynamical Systems and Differential EquationsInternational Journal of Mathematics and Mathematical SciencesJournal of Differential EquationsJournal fur die reine und angewandte mathematikJournal of Experimental MathematicsJournal of Mathematical Analysis and ApplicationsJournal of Mathematical Physics AJournal of Nonlinear AnalysisJournal of Nonlinear ScienceJournal of Physics:ALecture Notes in MathematicsLondon Mathematical SocietyMathematical Analysis and ApplicationsMathematical and Computer ModellingMathematical Physics, Analysis and GeometryMemoirs of the American Mathematical SocietyMethods and Applications of AnalysisNonlinear AnalysisNonlinear Analysis Series A: Theory, Methods and ApplicationsNonlinearityProceedings of the American Mathematical SocietyPhysica DRandom and Computational MathematicsRocky Mountain Journal of MathematicsRoyal Society of EdinburghSensors and ActuatorsSeminario Matematico Dell’Universita E Del Plolitecnico Di TorinoSIAM Journal of Mathematical AnalysisSIAM Journal on Applied Dynamical SystemsSpringer-Verlag Books


Cengage Learning Inc. (ODE book proposal review)Studies in Applied MathematicsISSAC Conference Proceeding (computer algebra)Transactions of the American Mathematical Society


Reviewer:Comision Nacional de Investigacion (Chilean NSF)Chilean Research CouncilIsrael Science FoundationMathematical ReviewsZentralblatt fur MathematikMONTS NSF Grant ProposalsNatural Sciences and Engineering Research Council of CanadaNSF Grant Proposals in Geometric AnalysisNSF Grant Proposals in Applied MathematicsNSF Career Advancement AwardsNSF Panels (3)NSERC GrantsFCAR Program Review (Canada)CUNY Research AwardsFondamenteel Onderzoek der Materie

(a research board in the Netherlands)UM Research BoardUS Civilian Research and Development Foundation


12. Honors and Honorary Societies

Phi Kappa Phi

UMC Arts and Sciences Purple Chalk Teaching Award, 1984

Adjunct Professorship in Veternary Pathobiology 2005–

13. Professional Societies

MAA, AMS, SIAM


Research Grants

UMC Research Council Summer Fellowship - 1979



UMC Research Council Equipment Grant - 1985

UMC Research Council Travel Grant - 1985

Brazilian National Science Council CNPq Travel Grant - 1985


Brazilian National Science Council CNPq Travel Grant - 1986

Department of Energy Conference Grant - 1987. Award $ 7,965.

Argonne Trust Conference Grant - 1987. Award $ 5,965.37.

UMC Alumni Symposium Fund Conference Grant - 1987

National Science Foundation of Belgium- 1988

AFOSR Research Grant (AF-AFOSR-89-0078) (Co-PI M. Jacobs)10/1/88–9/30/90. Total Award $107,017.

NSF Research Grant (NSF DMS 9022621) 6/1/91–5/31/93.Total Award $60,000.


NSF CBMS Conference Grant (NSF DMS 9414241) 1/1/95–12/31/95.Total Award $20,000. Also this project: $500 A&S SymposiumFund, $1000 UMC Graduate School, $15,000 Research Board.

MUIT Speaker’s Grant of $1500 for Robert Devaney (Boston Uni-versity), April 1996.


MU Research Board 6/1/98–5/31/99. Total Award $11,040.

MU Research Board May 1, 2002–April 30, 2003 (URB-02-022Chicone), $13,640.

MU International Travel March 11, 2003–June 30, 2003 , $1500.

NSF Research Grant (NSF DMS 0604331), 9/1/2006–8/31/2009.Total Award $410,000.


14. Service to University

College and University Committees

Graduate Faculty Senate 1986–1988

A & S Curriculum, Instruction and Advising Committee 1986–1988

Honors College Advisory Committee 1986

A & S Liaison to College of Engineering Curriculum, Instruc-tion and Advising Committee 1987–1988

Campus General Education Task Force 1988–1990

Judge: Local and State “Math Counts” Competition

Judge: Mathematical Sciences Division of Creative ActivitiesForum of the Graduate–Professional Council

College Research Mentorship Committee 1994–1997, 1999–

Honors Council 1994–1999

Hughes Grant Committee 1994–1996

MU Computer Policy and Strategy Committee 1995–1999

Search Committee for Director of Campus Computing 1996–1997

IATS-MU Research Support for Computing Committee 1998–1999

IATS-RSC Research Computing Committee 1998–1999

Department of Physics Faculty Search Committee 1999

Department of Chemical Engineering Faculty Search Com-mittee 1999–2000

UM Research Board 2003–2007

Office of Research Faculty Advisory Committee 2007–

Selected Department of Mathematics Committees

Library Committee 1999–

SIAM Representative 1989–

Qualifying Exam Committee 2002–2007

Committee on Promotion of Good Teaching 1980–1985

Committee Excellence in Teaching 2000–2006

Pi Mu Epsilon Advisor 1981–83


Director of Graduate Studies, July 1982–September 1983

Colloquium Chair 1985–1987

Personnel Committee 1985–1988

Executive Committee 2000, 2004–2005

Ad Hoc Committee Chair 2000–2001 (Executive CommitteeFormation)

Chairman, Doctoral Faculty Review Committee 2002–2004

Space and Resource Allocation Committee 2003

Ad Hoc Bylaws Committee 2001–2002

Co-organizer of Differential Equations Seminar 2006–

A&S Week Lecture: Deterministic Chaos, February 1993

Assistant Professor Review Committee Chair 1997-1999

Ad Hoc Bylaws Committee 2004

Undergraduate A&S Mentorships Committee 1997–1998, 2000

15. Teaching: Theses and Special Projects

Undergraduate Reading Course Directed

1. Kyle Gustafson (Physics) 2004

Undergraduate Honors Projects Directed

1. Steve Morey (Mathematics) 1995

A&S Mentor

1. Christopher Dignam (Mathematics) 1997


Master’s Thesis Committees

1. Wilhelm Stica (Mathematics) 1991

2. Raymond Nowell (Mathematics) 1991

3. Wu Fu-Long (Computer Sciences) 1992

4. Wen Houfeng (Mechanical Engineering) 1993

5. Scott Johnston (Mechanical Engineering) 1998

6. Jonathan French (Mechanical Engineering) 1998

7. Darrell Craig Mays (Mechanical Engineering) 1998–1999

8. Tim Smith (Mechanical Engineering) 2000–2001

9. Sushma Kalavagunta (Mechanical Engineering) 2002-2003

10. Kenny Hornman (Mechanical Engineering) 2003

11. Alexander Mellin (Mechanical Engineering) 2003

12. Arjuna Flenner (Physics) 2003

13. Thomas Koons (Mathematics) 2003

14. Ajeet Kamath (Mechanical Engineering) 2003

15. Yong Li (Mechanical Engineering) 2002

16. Aaron Olds (Mechanical Engineering) 2005

17. Melissa Shabazz (Mathematics) 2005

18. Chris Farmer (Master’s Project: Mathematics) 2006

19. Benjamin Edes (Mechanical Engineering) 2006–2007

20. Joseph Eimer (Mathematics) 2006

21. David Jack (Mathematics) 2006

22. Shelly Su (Mechanical Engineering) 2007

PH.D. Committees

1. Fathi Alashab (Electrical Engineering)–Third Reader

2. A. H. Bagegni (Electrical Engineering)

3. Brahim Berdowzi (Chemical Engineering)–Third Reader

4. Ben Youssef Bisbis (Chemical Engineering)–Third Reader

5. A. Bruning (Electrical Engineering)

6. Doug Clark (Mathematics)

7. Dujoy Deb (Electrical Engineering)

8. Suleiman Elfandi (Electrical Engineering)


9. Carolyn Eoff (Mathematics)

10. Abdalla Fadel (Electrical Engineering)

11. Maria Loranoz (Mathematics)

12. Hau Lin (Chemical Engineering)

14. William Noble (Mathematics–UMR)

15. Mir-Saeed Razavi (Chemical Engineering)

16. Min Zeng (Mathematics) 1996

17. Ming-Ren Chi (Chemical Engineering) 1991–

18. Shyhchyang Wang (Electrical Engineering) 1992–

19. Wilhelm Stica (Mathematics) 1996

20. Raymond Nowell (Mathematics) 1993–

21. Wei-Wei Qi (Electrical Engineering) 1992–

22. Chen-Fa Yeh (Electrical Engineering) 1995

23. Mussafa Coskun (Atmospheric Science) 1993–

34. James McClune (Physics) 1994-1997

35. Ming-Yang Cheng (Electrical Engineering) 1993-1998

36. Ching-Tsan Chiang (Electrical Engineering) 1995

37. Yen-Ju Wang((Electrical Engineering) 1996–2000

38. Unal Ufaktepe (Mathematics) 1996

39. Yun-Hsieh Lo (Chemical Engineering) 1994–

40. Bulent Biler (Electrical Engineering) 1994–2000

41. Craig Haile (Mathematics) 1994-1997

42. Walter Renger (Mathematics) 1996

43. Yuchun Jiang (Mechanical Engineering) 1995–

44. Chien-Kuo Li (Electrical Engineering) 1995–1997

45. Ing-Chyuan Wu (Electrical Engineering) 1995–1999

46. Lotfi Hermi (Mathematics) 1995–1999

47. Anthony Campbell (Mechanical Engineering) 1995–1998

48. William Layton (Mathematics) 1996–1999

49. Andrew Lang (Mathematics) 1996–1998

50. Ming-Yang Cheng (Electrical Engineering) 1996–

51. Tammy Voepel (Mathematics) 1996–1997

52. Mikhail Tsukerman (Mathematics) 1996–


53. Xi Hao (Electrical Engineering) 1996–

54. Hongliu Du (Mechanical Engineering) 1996–1997

55. Xudong Xin (Civil Engineering) 1997–2002

56. James Hakanson (Mechanical Engineering) 1997–2000

57. Y. Xu (Mechanical Engineering) 1997–

58. Samuel Thornton (Mechanical Engineering) 1997–2000

59. Nader Haghighipour (Physics) 1997–1998

60. Milena Stanislavova (Mathematics) 1997–1999

61. William Casey 1997–1998

62. W. Xu (Mechanical Engineering) 1998–2002

63. Xiaoping Zhang (Electrical Engineering) 1998–2001

64. Ying-Chiuan Lin (Electrical Engineering) 1999–

65. John Burgess (Mechanical Engineering) 1999–

66. Zachary Wardell (Physics) 1999–2003

67. Jaedong Choi (Mathematics) 2000

68. Bulent Unal (Mathematics) 2000

69. Uwe Muench (Physics) 2000–2002

70. Neal Quackenbush (Electrical Engineering) 2000–

71. Jen-Chieh Yu (Electrical Engineering) 2001

72. John Hauck (Physics) 2001–2003

73. Vladimir Botchenko (Mathematics) 2004–2005

74. David Cramer (Mathematics) 2003–2005

75. Shangzhen Luo (Mathematics) 2003–2005

76. Vita Borovk (Mathematics) 2003–

77. Maxim Zinchenko (Mathematics) 2003–2006

78. Armin Karabegovic (Electrical Engineering) 2003–2007

79. Don Vaught (Mathematics) 2003–2005

80. Ing-Chyuang Wu (Electrical Engineering) 2002–

81. Marius Ellingsen (Mechanical Engineering) 2004–

82. Alin Pogan (Mathematics) 2005–

83. Pei Yin (Mathematics) 2005–2007

84. Piyasak Damronglerd (Electrical Engineering) 2006–

85. Ryan Brown (Mathematics) 2006


86. Mingxuan Fan (Mechanical and Aerospace Engineering) 2006

87. Mita Das (Mathematics) 2006–

88. Adam Kertz (Mechanical and Aerospace Engineering) 2006–

89. Valerian Yurov (Mathematics) 2006–

90. Peimin Chen (Mathematics) 2007–


PH.D. Theses Directed

1. Michael Wodzak 1990–1996

2. Ben Mohamed (M. Rhouma) 1995–1999

3. James Benson 2004–

4. Michael Heitzman 2004–

5. Kenny Felts 2004–

6. Oksana Bihun 2004–

Masters Projects Directed

1. Nabil Husni 1987

2. Thomas LoFaro 1989

3. Kevin Schneider 1991

4. Robert Offerman 1992

5. Houfeng Wen 1994

6. Wei Zhang 1994

7. Michael Wickey 1994

8. Sherri DeHart 1994

9. Rebecca Schofield 1994

10. John Wright 1995

11. Lori Houghton 1995

12. Ben Mohamed (M. Rhouma) 1995

13. Jason Bender 1997

14. Tim Davis 2001

15. Kenny Felts 2003

16. Jayanthy Ramakrishnan 2004–2005

17. Brook Abrams 2004–2005

18. Oksana Bihun 2004–2005


16. Classroom Teaching

Courses Taught by Catalog Number

(Before FS2004) 3,14,60,61

80, 108, 175, 201, 207, 208, 250, 304, 305, 311, 316, 323, 331,350, 390

408, 418, 426, 427, 429, 449, 470, 486, 488, 490

(Starting FS2004) 4100, 4560

8085, 8190, 8702, 9090

Lecture Notes

Planar Systems of Differential Equations(2006). Notes usedby all sections of Math 4100 written in collaboration withT. Christiansen and M. Pang.

An Invitation to Applied Mathematics (2007). Notes for shortcourse in Granada, Spain.

Mathematica Courses Taught by Catalog Number

80, 201, 304, 323

Short Courses

Ordinary Differential Equations and Applications (2007). A courseusing the lecture notes An Invitation to Applied Mathematics taughtin the D.A.N.C.E. program for Spanish graduate students in Granda,Spain (2007).

curriculum vitae - department of mathematics - university of missouri

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