UNIVERSITE D’ABOMEY-CALAVIThe Abdus Salam International Centre for Theoretical Physics

Institut de Mathématiques et de Sciences Physiques1

IMSP SCIENTIFIC REPORT FOR 2014

Foreword by the Director

I am pleased to present the report on the activities of the Institut de Mathématiques et de Sciences Physiques (IMSP), during the academic year 2013-2014. This academic year has seen the continuation of training in mathematics, theoretical physics, computer science, and didactics of

1 BP 613, Porto-Novo, Bénin Tél & Fax (+229) 20 22 24 55 Email secretariat@imsp-uac.org Page Web : www.imsp-uac.org

mathematics, physics and chemistry.

The Institut de Mathématiques et de Sciences Physiques contributes also, since 1990, to influence positively mathematics and physics curricula in the secondary schools, by organizing a competition for young pupils in mathematics, physics and chemistry in order to attract and to stimulate large numbers of youth toward career in sciences and technology. This competition is organized with the financial support of our National Lottery Company.

A new development this year is that the World Bank's Board of Executive Directors has approved, on April 15, 2014, US$150 million to finance 19 university-based Centers of Excellence in seven countries in West and Central Africa. These highly selected centers will receive funding for advanced specialized studies in science, technology, engineering and mathematics (STEM)-related disciplines, as well as in agriculture and health. This landmark Africa Centers of Excellence (ACE) project, which will equip young Africans with new scientific and technical skills, will be financed through IDA credits to the governments of Nigeria (US$70 million), Ghana (US$24 million), Senegal (US$16 million), Benin, Burkina Faso, Cameroon, and Togo (US$8 million each). The Gambia will also receive a US $2 million credit and a US$1 million grant to provide higher education (including short-term training) to students, faculty and civil servants through the 19 ACEs.

The project presented by the Institut de Mathématiques et de Sciences Physiques (IMSP) has been ranked at the tenth position among the fifty three (53) applications received by the World Bank. This project aims to strengthen the training and research capacities of IMSP by implementing new programs in applied mathematics (mathematical modelings, Statistics and Probability). Therefore his Institute will be granted US$8 million by the World Bank. But according to the Implementation Planing, this grant cannot be used to pay scholarships to students.

Finally, Nine (09) PhD Thesis have been defended in 2014 and more than fifteen (15) Master's degree dissertations in Mathematics, Physics and Computer Sciences have also been defended during the same year.

1. Academic activities

During the 2013–2014 academic year, the Institute hosted visitors from France, Canada, Italy, Spain, USA, Senegal and Burkina-Faso. These visitors (including senior scientists) conducted joint work with the IMSP members, delivered lectures in various IMSP programs, met students. The lecture given are as follows :

A) Master in Mathematics and Theoretical Physics

a) Local scientific staff1) Prof. L. TODJIHOUNDE : Geometric Analysis.2) Prof. C. ATINDOGBE : Differential Geometry for Physicists.3) Prof. J. TOSSA : Pseudo-Riemannian Geometry and Introduction

to General Relativity.4) Prof A. MARCOS and Dr B. AHOUNOU : Functional Analysis.5) Dr G. DEGLA : Nonlinear Analysis.6) Prof. J. B. CHABI OROU : Fluid Mechanics.7) Dr G. AVOSSEVOU : Non Relativistic Quantum Mechanics.8) Prof. F. HONTINFINDE : Statistical Physics.

b) Visitors

Mathematics (visiting scientists):1) Prof. Augustin BANYAGA, Penstate University : Symplectic and contact Geometry2) Prof. Claude Levesque, Université de Laval (Canada) : Introduction aux formes quadratiques binaires,3) Prof. Alain TOGBE, Purdue University North Central, Westville, USA : Introduction to elementary arithmetic,4) Prof. Franscesco Pappalardi, Roma, Italy : Introduction to the algebraic number theory,5) Prof. Jorge Jimenez Urroz, UPC, Barcelona, Spain : Elliptic curves and cryptography6) Prof. Florian Luca, Morelia, Mexico : Diophantine equations7) Prof. Michel Waldschmidt, Paris 6, France : Introduction to the theory of finite fields with application to error correcting codes8) Prof) Adriano Salerno, Lewiston, USA : Introduction to p-adic numbers9) Dr. Kondo GNANVO, Department of Physics, University of Virginia, Charlottesville, VA, USA : Introduction à la Physique des Particules et aux Techniques Expérimentales et Technologies utilisées en Physique des Hautes Energies et Physique Nucléaire

Didactics of Science (visiting scientists)

Didactics of Mathematics :

1. Prof Alain BRONNER, University of Montpelier (France), 2. Prof. Mirène LARGUIER, University of Montpelier (France), 3. Prof. Denis BUTLEN, Université Paris 7, Diderot,

Didactics of Physics :

4. Prof. Philippe BRIAUD, University of Nantes (France),

Didactics of Biology :

5. Prof Christian ORANGE, Université Libre de Bruxelles (Belgique)

6. Prof. Denise ORANGE, Université de Lille 3 (France),

Computer Science (visiting scientists)1. Prof Roch GLITHO, University of Concordia (Canada), 2. Prof. Pierre GOUTON, University of Bourgogne, France.

Operational Research (visiting scientists)1. Prof. Babacar Ndiaye, Université Cheikh Anta Diop, Dakar (Sénégal)2. Prof. Gilles Caporossi, HEC, Montréal, Canada

Scientific activitiesWe have many scientific activities :

1. Weekly general seminar of Wednesday : This is the seminar program of the Institute that brings together all the research teams. For this academic year, we had thirty-eight (38) weekly seminars, given by PhD students, Lecturers, Researchers and Visiting Scientists.

2. Seminars of different research groups : are held every Monday for the Mathematics group, every Wednesday (immediately after the general seminar) for Physics group and every Wednesday afternoon for the Didactics group.

3. International meetings : are important in our research program. We organize the first Benin CIMPA-ICTP research School on Algebraic Number Theory and Applications during 7-19 July, 2014. This first school on Algebraic Number Theory and Applications has been organized at the new IMSP campus at Dangbo, 15km away from Porto-Novo (Benin). The main purpose of this school is to introduce Algebraic number Theory to the 39 participants. The report on this activity can be found at http://webusers.imj-prg.fr~michel.waldschmidt/articles/pdf/RptBenin2014.pdf writen by Professor Michel Waldschmidt from Paris 6 (France). The program involves short courses (6 hours) and some advanced mini courses (1 hour) and students selected presentations (30mn including questions).

Defense of Ph.D. Thesis

During the academic year 2014, nine (9) thesis have been defended :1) NKOU Van Borhen (Congo Brazza) “On weil bundles : New properties of prolongations of Linear Connnections. Cohomology associated with a Poisson Structure"2) MBATAKOU Salomon Joseph (Cameroun) “Transformations conformes et Problème de type Yamabe en Géométrie de Finsler"3) NDIZEYE Prosper (Burundi) “Le Modèle d'Ashkin-TEller SPIN-1 avec des Interactions et Dynamiques Compétitives"4) KPLE Joël (Bénin) “Numerical Study of Ferrimagnetic Ising models in the Bethe-Peierls Approximation"5) SALAKO Godonou Inès (Bénin) “Les Théories Alternatives : La Théorie Télé-Parallèle Généralisée et la Théorie Néo-Newtonnienne"6) DOSSA Finagnon Anselme (Bénin) “Canonical Quantization through Coherent States and Similarity Transformations Applications to Quantum Rabi Models and the Nonabelian Landau Problem”7) AHOUANDJINOU S. M. R. Arnaud (Bénin) “Reconnaissance de scénario par les modèles de Markov cachés crédibilistes. Application à l'interprétation automatique de séquences vidéo médicales”8) MIWADINOU H. Clément (Bénin) “Control of chaotic and catastroph behaviours of a modified Rayleigh-Duffing oscillator”9) HINVI Amoussou Laurent (Bénin) “Linear stability analysis of fluid flow in porour medium with small suction and injection through the walls”

LIST OF SCIENTIFIC PUBLICATIONS

FOR 2013-2014

Cosmology and Gravitation Group

N° Authors Title of Articles and Journal of the publication

Impact Factor of

the Journal

1

M.E. Rodrigues, I.G. Salako, M.J.S. Houndjo, J. Tossa

Locally Rotationally Symmetric Bianchi Type-I cosmological model in f ( T ) gravity: from early to Dark

Energy dominated universe

Published in Int.J.Mod.Phys. D23 (2014) 1, 1450004

1.183

2A.M. Oliveira, H.E.S. Velten,

J.C. Fabris, I.G. Salako.

Newtonian View of General Relativistic Stars

Accepted for publication in European Physical Journal C

(2014)

5.436

3M.J.S. Houndjo, F.G.

Alvarenga, Manuel E. Rodrigues, Deborah F.

Jardim.

Thermodynamics in Little Rip cosmology in the framework of a

type of f(R, T) gravity

Published in Eur.Phys.J.Plus 129 (2014) 171

1.475

4E.H. Baffou, A.V. Kpadonou,

M.E. Rodrigues, M.J.S. Houndjo, J. Tossa.

Cosmological viable f(R,T) dark energy model: dynamics and

stability

Accepted for publication in Astrophys.Space Sci.

2.401

6S B Nassur , A.V. Kpadonou, M.E.

Rodrigues, M.J.S. Houndjo, J. Tossa.

Realistic f(T) model describing the de Sitter epoch of the current

universeAccepted for publication in

Can.J.Phys.

0.928

Mathematics Group

N° Authors Title of Articles and Journal of the publication

Impact Factor

7Eva Glasmachers, Gerhard Knieper, Carlos Ogouyandjou, Jan Philipp Schröder

TOPOLOGICAL ENTROPY OF MINIMAL GEODESICS AND VOLUME GROWTH ON SURFACES J OURNAL OF M ODERN DYNAMICS V OLUME 8, N O. 1, 2014, 75–91

0.791

8 Cyriaque Atindogbe, Lionel Bérard-Bergery, Carlos Ogouyandjou

Einstein–Weyl structures on lightlike hypersurfaces Cent. Eur. J. Math. • 11(10) • 2013 • 1850-1862 DOI: 10.2478/s11533-013-0278-9 0.519

9Carlos Ogouyandjou

Volume of Geodesic Balls in Finsler Manifolds of Hyperbolic Type Advances in Pure Mathematics, 2014, 4, 391-399.

10C. ATINDOGBE, C. OGOUYANDJOU, J. TOSSA

SHADOW LEMMA ON FINSLER MANIFOLDS OF HYPERBOLIC TYPE Mathematical Sciences And Applications E-Notes Volume 1 No. 1 (2014) c MSAEN

11 G. DEGLA

On bifurcation from infinity and multipoint boundary value problems. Advances in Pure Mathematics 2014, 4, 108-117.(doi.org/10.4236/apm. 2014.44018).

12W Houedanou, Ahounou Bernardin, Serge Nicaise

A residual-based posteriori error estimates for a nonconforming finite element discretization of the Stokes-Darcy coupled problem: Isotropic discretization." Journal of Computational and Applied Mathematics (JCAM)

1,98

13J. Doumatè, L.Leadi, M.Aboubacar

Asymmetric Steklov problems with sign-changing weights Journal of Mathematical Analysis and Applications (2015, http://dx.doi.org/10.1016/j.jmaa.2015.01.002

1.119

Mabel Cuesta and Liamidi Leadi

Weighted eigenvalue problems for quasilinear elliptic operators with mixed Robin-Dirichlet boundary conditionsJournal of Mathematical

1.119

14 Analysis and Applications vol 422, Issue 1, 1 January 2015, Pages 1–26

Computer Science Group

N°

Authors Title of Articles and Journal

of the publication Impact Factor of

the Journal

15Arnaud S. R. M. Ahouandjinou, Cina Motamed, Eugène C. Ezin

Activity Recognition Based on Temporal HMM for Visual Medical Monitoring Using a Multi Camera System.

12th African Conference on Research in Computer Science and Applied Mathematics, CARI 2014: 89-100, 2014.

16

Arnaud S. R. M. Ahouandjinou, Cina Motamed, Eugène C. Ezin.

A temporal belief hmm for human action recognition in medical videos,

11th international conference on pattern recognition and image analysis – PRIA-2013: 492-495, 2013.

17

Arnaud S. R. M. Ahouandjinou, Cina Motamed, Eugène C. Ezin., Arnaud S. R. M. Ahouandjinou, Cina Motamed, Eugène C. Ezin.,

A temporal belief based HMM for human action recognition in medical videos., International journal of Pattern Recognition and Image Analysis. Advances in Mathematical Theory and Applications, vol.24, 2014.

18Arnaud S. R. M. Ahouandjinou, C. Motamed, E. C. Ezin, H. Agboton

Reconnaissance de scénarios crédibilistes par les modèles de Markov cachés hiérarchico-temporels,

Soumis au

--------

revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, ARIMA,

Quantum Fields Theory Group

N° AuthorsTitle of Articles and

Journal of the publication

Impact Factor of the Journal

19Gabriel Y. H. Avossevou and Bernardin D. Ahounou

The Aharonov-Bohm effect and its stationary scattering states from the flat circular annulus U(1) holonomy

International Journal of Geometric Methods in Modern Physics , Vol. 11 (2014) 1450084 DOI: 10.1142/S0219887814500844

0.951

20Anselme F. Dossa and Gabriel Y. H. Avossevou

Analytical spectrum for a Hamiltonian of quantum dots with Rashba spin-orbit coupling

In press in : Physica Scripta

1.296

21 Anselme F. Dossa and Gabriel Y. H. Avossevou

Full spectrum of the two-photon and the two-mode quantum Rabi models

In press in : Journal of Mathematical Physics

1.296

22 Michaël Fanuel, Jan Govaerts, Gabriel Y. H. Avossevou and Anselme F. Dossa

The N = 1 Supersymmetric Wong Equations and the Non-Abelian Landau Problem

In press in : Journal of Physics A, Mathematical and Theoretical

1.687

23 Daniel Sabi Takou, Gabriel Y. H. Avossevou and Basile B. Kounouhewa

SUSY partners for spin-1/2 systems in nonrelativistic limit

Under consideration in : Cent. Euro. J. Phys.

1.077

24Anselme F. Dossa and Gabriel Y. H. Avossevou

Unitary Transformations and the One-photon Rabi Model

Under consideration in : Journal of Mathematical Physics

1.296

Renewable Energy Group N° Authors

Title of Articles and Journal of the publication

Impact Factor of the Journal

25

KOUNOUHEWA B. B.; HOUEKPOHEHA A. M. ; TOKPOHOZIN N.B.; AWANOU C. N. et CHABI-OROU B. J.

SIMULATION DU POTENTIEL ENERGETIQUE DE LA HOULE AU PORT AUTONOME DE COTONOU

Journal de la Recherche Scientifique de l’Université de Lomé (JRSUL-Togo), JRSUL-0029_E Vol. 16 (2), 2014.

26 KOUNOUHEWA B. B. ; TOKPOHOZIN N. B. ; HOUEKPOHEHA A.M.; AWANOU N. C. et CHABI-OROU B. J.

SIMULATION DU POTENTIEL ENERGETIQUE DES COURANTS MARINS INTERNES AU PORT AUTONOME DE COTONOU EN REPUBLIQUE DU BENIN ET SON IMPACT SUR LE FOND MARIN

Journal de la Recherche Scientifique de l’Université de Lomé (JRSUL-Togo), JRSUL-0033_E Vol. 16 (2), 2014.

27 M. A. HOUEKPOHEHA; B. KOUNOUHEWA; B. N.TOKPOHOZIN et C. N. AWANOU

Estimation de la puissance énergétique éolienne à partir de la distribution de Weibull sur la côte béninoise à Cotonou dans le Golfe de Guinée

Revue des Energies Renouvelables Vol. 17,

N°3 ( 2014) 28 M. A. HOUEKPOHEHA; B.

KOUNOUHEWA; B. N.TOKPOHOZIN et C. N. AWANOU

Modelling of sediment movement in the surf and swash zones

to apear in Acta Oceanologica Sinica

Fluid Dynamics - Nonlinear Dynamics and Chaotic Dynamics Group

N° Authors Title of Articles and Journal of the publication

Impact Factor of

the Journal

29 L. A. Hinvi ; A. V. Monwanou  and J. B. Chabi Orou

Linear stability analysis of fluid flow between two parallel porous

stationary plates 

African Review of Physics (2014) 9:0016

30L. A. Hinvi ; A. V. Monwanou 

and J. B. Chabi Orou Etude de l’oscillateur de Van der Pol généralisé par la méthode du

groupe de renormalisation

Accepted for publication in JRSUL-Togo (2014)

31 C. H. Miwadinou ; A. V. Monwanou and J. B. Chabi Orou

Active Control of the Parametric Resonance in the Modified Rayleigh-Duffing Oscillator.

Accepted for publication in African Review of Physics (2014)

32C. H. Miwadinou ; A. V. Monwanou and J. B. Chabi Orou

Effect of nonlinear dissipation on the basin boundaries of a driven

two-well modified Rayleigh-Duffing Oscillator .

Accepted for publication in International Journal of

Bifurcation and Chaos (2014)

1.017

33 A. A. Koukpémèdji ; J. B. Chabi Orou

Vitesse du vent et distribution de Weibull. Accepted for publication in JRSUL-Togo (2014)

Statistical Physics and Condense Mater Group

Authors Title of Articles and Journal of the publication

Impact Factor of the Journal

Prosper Ndizeye, Felix Hontinfinde, Basile Kounouhewa, Smaine Bekhechi

Numerical study of the three-state Ashkin-Teller model with competing dynamicsCent. Eur. J. PhysVolume 12, Issue 5, May 2014

1.077

T.D. OKE, Felix Hontinfinde, K. Boukheddaden Interplay between spin-

crossover and magnetic interactions in a BEG modelEur. Phys. J. B (2013) 86: 271

1.463

PROMOTION OF MATHEMATICS, PHYSICS AND CHEMISTRY IN SECONDARY SCHOOLS IN BENIN.

In several African countries, a strong decline was observed in the numbers of High School students graduating with a Mathematics option ( called “ séries C” in Benin). In 2011 for example in Benin, we had 73,310 applicants to the Baccalauréat (the final degree for the secondary schools), but only 1160 were enrolled in mathematics option. This situation remain unchanged in 2014 where for 101,634 applicants, only 1064 where enrolled in mathematics option. The Institute organized annually, since 1990, a scientific competition for young pupils in the fourth year of college (secondary schools). Since 2007, a similar competition is organized only for girls and this competition is called “Miss Mathematics, Physics and Chemistry”. Here are some pictures for the year 2014 of those competitions.