editors

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Communications in Nonlinear Science and Numerical Simulation Founder and Honorary Editor Professor Y.S. Chen Department of Mechanics and Engineering Science Peking University, Beijing 100871, China Associate Editors: Professor Michele Basso Dipart. di Sistemi e Informatica, Università degli Studi di Firenze, via di Santa Marta 3, 50139 Firenze, Italy Tel.: +39 055 4796 524 Fax: +39 055 4796 493 E-Mail: [email protected]fi.it Professor Duccio Fanelli Dipartimento di Energetica ‘‘S. Stecco’’, University of Florence, via S. Marta 3, 50139 Florence, Italy Tel.: +39 055 4796344 Fax: +39 055 4796342 E-mail: [email protected] Professor Marian Gidea Department of Mathematics, Northeastern Illinois University, 5500 N St Louis, Chicago, IL 60625, USA Tel.: 773-442-5779 Fax: 773-442-5770 E-mail: [email protected] Professor Nikolai A. Kudryashov Department of Applied Mathematics, Moscow Engineering and Physics Institute (State University), 31 Kashirskoe Shosse, 115409 Moscow, Russian Federation Tel./Fax: +7(495)324-11-81, E-mails: [email protected], ([email protected]) Professor Jia Lu Department of Mechanical Engineering, University of Iowa, Iowa City, IA 52242, USA Tel.: +1 319 335 6405; Fax: +1 319 335 5669 E-mail: [email protected] Professor Elbert N. Macau Lab. Associado de Computção e Mateática Aplicada, Instituto Nacional de Pesquisas Espaciais, Av. dos Astronautas, 1758, 12227-010 Sáo José dos Campos, SP, Brazil Tel.: +55 12 3945 6564 Fax: +55 12 3945 6375 E-Mail: [email protected] Professor J.A. Tenreiro Machado ISEP-Institute of Engineering of Porto, Dept. of Electrotechnical Engineering, Rua Dr. Antonio Bernardino de Almeida, 4200-072 Porto, Portugal Fax: 351-22-8321159 E-mail: [email protected] Professor Josep J. Masdemont Department of Matematica Aplicada I, Universitat Politecnica de Catalunya (UPC), Diagonal 647 ETSEIB, 08028, Barcelona, Spain Tel.: 34-934016663, Fax: 34-934011713 E-mail: [email protected] Professor Dmitry E. Pelinovsky Department of Mathematics & Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada L8S 4K1 Tel.: 905-525-9140, ext. 23424 Fax: 905-522-0935 (fax) E-mail: [email protected] Professor Miguel A.F. Sanjuan Departamento de Fisica, Grupo de Dinamica No Lineal, Teoria del Caos y Sistemas Complejos, Escuela Superior de Ciencias Experimentales y Tecnologia, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Mostoles, Madrid, España-Spain Tel.: (+34) 916647443, Fax: (+34) 916647455 E-mail: [email protected] Professor Hansong Tang The City University of New York, Dept. of Civil Eng., City College, 138th & Convent Ave., New York, NY 10031, USA Tel.: 212-650-8006 E-mail: [email protected] Dr. Vasily E. Tarasov Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119992 Moscow, Russia Tel.: (+7 495) 939 5989, Fax: (+7 495) 939 0397 E-mail: [email protected] Professor Dmitri Vainchtein Department of Mechanical Engineering, Temple University, 1947 N 12th Street, Philadelphia, PA 19122. Tel.: 215-204-1459 E-Mail: [email protected] International Advisory Editors Board Professor V. Afraimovich San Luis Potosi University, IICO-UASLP, Av. Karakorum 1470, Lomas 4a Seccion, San Luis Potosi, SLP 78210, Mexico Fax: (52) 444-8250198 E-mail: [email protected] Professor Marat Akhmet Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey Tel.: 090-312-2105355, Fax: 090-312-2102972 E-mail: [email protected] Professor S.R. Bishop Centre for Nonlinear Dynamics and its Applications University College London Gower Street London WC1E 6BT UK Fax: +44-(0)20 7380-0986 E-mail: [email protected] Professor G.Q. Chen Department of Mechanics and Engineering Science, Peking University, Beijing, China, 100080 E-mail: [email protected] Professor M. Courbage CNRS - UMR 7057 "Matière et Systèmes Complexes", Case 7056, Bâtiment Condorcet, porte 718A, 10, rue Alice Domon et Léonie Duquet 75205 Paris Cedex 13, France Tel.: 33-(0)1 57 27 62 82 Fax: (0)1 57 27 62 11 E-mail: [email protected] continued on back matter I Editors: C. Chandre Centre de Physique Théorique, CNRS - Aix-Marseille University, Luminy, 13009 Marseille, France. Tel.: +33 4 91 26 95 22 E-mail: [email protected] S. Ruffo Dipartimento di Fisica e Astronomia, Universitá degli Studi di Firenze, via G. Sansone, 1 50019 Sesto, Italy Tel.: +39 055 4572322 Fax: +39 055 4572121 E-mail: stefano.ruffo@unifi.it Y.-h. Lan Department of Physics, Tsinghua University, Beijing, China (Department of Mechanical Engineering, University of California, Santa Barbara CA 93106, Tel.: 805-893-5095 E-mail: [email protected]) A.C.-J. Luo Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, IL 62026-1805, USA Tel.: +1-618-650-5389 Fax: +1 618 650 2555 E-mail: [email protected]

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Page 1: Editors

Communications in Nonlinear Science and Numerical Simulation

Founder and Honorary Editor

Professor Y.S. ChenDepartment of Mechanics and Engineering SciencePeking University, Beijing 100871, China

Associate Editors:

Professor Michele BassoDipart. di Sistemi e Informatica,Università degli Studi di Firenze,via di Santa Marta 3, 50139 Firenze, ItalyTel.: +39 055 4796 524Fax: +39 055 4796 493E-Mail: [email protected]

Professor Duccio FanelliDipartimento di Energetica ‘‘S. Stecco’’,University of Florence,via S. Marta 3, 50139 Florence, ItalyTel.: +39 055 4796344Fax: +39 055 4796342E-mail: [email protected]

Professor Marian GideaDepartment of Mathematics,Northeastern Illinois University,5500 N St Louis, Chicago,IL 60625, USATel.: 773-442-5779Fax: 773-442-5770E-mail: [email protected]

Professor Nikolai A. KudryashovDepartment of Applied Mathematics, MoscowEngineering and Physics Institute (StateUniversity), 31 Kashirskoe Shosse, 115409Moscow, Russian FederationTel./Fax: +7(495)324-11-81,E-mails: [email protected],([email protected])

Professor Jia LuDepartment of Mechanical Engineering,University of Iowa, Iowa City,IA 52242, USATel.: +1 319 335 6405;Fax: +1 319 335 5669E-mail: [email protected]

Professor Elbert N. MacauLab. Associado de Computção e MateáticaAplicada, Instituto Nacional de PesquisasEspaciais, Av. dos Astronautas, 1758,12227-010 Sáo José dos Campos, SP, BrazilTel.: +55 12 3945 6564Fax: +55 12 3945 6375E-Mail: [email protected]

Professor J.A. Tenreiro MachadoISEP-Institute of Engineering of Porto,Dept. of Electrotechnical Engineering,Rua Dr. Antonio Bernardino de Almeida,4200-072 Porto, PortugalFax: 351-22-8321159E-mail: [email protected]

Professor Josep J. MasdemontDepartment of Matematica Aplicada I,Universitat Politecnica de Catalunya (UPC),Diagonal 647 ETSEIB, 08028, Barcelona, SpainTel.: 34-934016663,Fax: 34-934011713E-mail: [email protected]

Professor Dmitry E. PelinovskyDepartment of Mathematics & Statistics,McMaster University, 1280 Main Street West,Hamilton, Ontario, Canada L8S 4K1Tel.: 905-525-9140, ext. 23424Fax: 905-522-0935 (fax)E-mail: [email protected]

Professor Miguel A.F. SanjuanDepartamento de Fisica,Grupo de Dinamica No Lineal,Teoria del Caos y Sistemas Complejos,Escuela Superior de CienciasExperimentales y Tecnologia,Universidad Rey Juan Carlos, Tulipán s/n,28933 Mostoles, Madrid, España-SpainTel.: (+34) 916647443,Fax: (+34) 916647455E-mail: [email protected]

Professor Hansong TangThe City University of New York,Dept. of Civil Eng., City College,138th & Convent Ave.,New York, NY 10031, USATel.: 212-650-8006E-mail: [email protected]

Dr. Vasily E. TarasovSkobeltsyn Institute of Nuclear Physics,Moscow State University,119992 Moscow, RussiaTel.: (+7 495) 939 5989, Fax: (+7 495) 939 0397E-mail: [email protected]

Professor Dmitri VainchteinDepartment of Mechanical Engineering,Temple University, 1947 N 12th Street,Philadelphia, PA 19122. Tel.: 215-204-1459E-Mail: [email protected]

International Advisory Editors Board

Professor V. AfraimovichSan Luis Potosi University, IICO-UASLP,Av. Karakorum 1470, Lomas 4a Seccion,San Luis Potosi, SLP 78210, MexicoFax: (52) 444-8250198E-mail: [email protected]

Professor Marat AkhmetDepartment of Mathematics,Middle East Technical University,06531 Ankara, TurkeyTel.: 090-312-2105355, Fax: 090-312-2102972E-mail: [email protected]

Professor S.R. BishopCentre for Nonlinear Dynamics and itsApplications University College London GowerStreet London WC1E 6BT UKFax: +44-(0)20 7380-0986E-mail: [email protected]

Professor G.Q. ChenDepartment of Mechanics and EngineeringScience, Peking University, Beijing,China, 100080E-mail: [email protected]

Professor M. CourbageCNRS - UMR 7057 "Matière et SystèmesComplexes", Case 7056, Bâtiment Condorcet,porte 718A, 10, rue Alice Domon et LéonieDuquet 75205 Paris Cedex 13, FranceTel.: 33-(0)1 57 27 62 82Fax: (0)1 57 27 62 11E-mail: [email protected]

continued on back matter I

Editors:

C. ChandreCentre de Physique Théorique,CNRS - Aix-Marseille University, Luminy,13009 Marseille, France.Tel.: +33 4 91 26 95 22E-mail: [email protected]

S. RuffoDipartimento di Fisica e Astronomia,Universitá degli Studi di Firenze,via G. Sansone, 1 50019 Sesto, ItalyTel.: +39 055 4572322Fax: +39 055 4572121E-mail: [email protected]

Y.-h. LanDepartment of Physics,Tsinghua University, Beijing, China(Department of Mechanical Engineering,University of California,Santa Barbara CA 93106,Tel.: 805-893-5095E-mail: [email protected])

A.C.-J. LuoDepartment of Mechanical and IndustrialEngineering,Southern Illinois University Edwardsville,IL 62026-1805, USATel.: +1-618-650-5389Fax: +1 618 650 2555E-mail: [email protected]