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Jean-Pierre Francoise

128
Documents

Presentation

J.-P. FRANCOISE a contribué à incorporer les avancées de la théorie des singularités dans la domaine des équations différentielles. Il a appliqué ses travaux à la modélisation en physique, mécanique et biologie. 1-Développement des méthodes de la théorie des singularités dans le champ des équations différentielles: finitude Noethérienne et ideal de Bautin, inégalité de Lojasiewicz, ensembles sous-analytiques, problèmes au bord pour les équations d'Abel analytiques, théorème de division par un idéal, théorème de résolution d'Hironaka, espace des arcs de Nash. 2-Contributions en physique mathématique et mécanique (travaux sur les systèmes Hamiltoniens, peakons périodiques, exactitude de la phase stationnaire, monodromie). 3-Modélisation en biologie (théorie des oscillations, modèle de Guyton défini par un grand nombre d'équations différentielles et d'inégalités algébriques).

Publications

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EXAMPLES OF CREATIVE EXTINCTION IN DYNAMIC ECOLOGY

Evariste Sanchez Palencia , Jean-Pierre Françoise
RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2023, 117 (1), pp.46. ⟨10.1007/s13398-022-01350-1⟩
Journal articles hal-03953535v1
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On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions

E. Sanchez-Palencia , J.-P. Françoise
Acta Biotheoretica, In press, ⟨10.1007/s10441-021-09413-3⟩
Journal articles hal-03244151v1

On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions

E. Sanchez-Palencia , J.-P. Françoise
Acta Biotheoretica, 2021, 69 (4), pp.497-510. ⟨10.1007/s10441-021-09413-3⟩
Journal articles hal-03636121v1
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QUADRATIC DOUBLE CENTERS AND THEIR PERTURBATIONS

Jean-Pierre Françoise , Peixing Yang
Journal of Differential Equations, 2021, 271, pp.563-593. ⟨10.1016/j.jde.2020.08.035⟩
Journal articles hal-03099677v1
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THE NUMBER OF LIMIT CYCLES BIFURCATING FROM THE PERIOD ANNULUS OF QUASI-HOMOGENEOUS HAMILTONIAN SYSTEMS AT ANY ORDER

Jean-Pierre Françoise , Hongjin He , Dongmei Xiao
Journal of Differential Equations, 2021, 276, pp.318-341. ⟨10.1016/j.jde.2020.12.015⟩
Journal articles hal-03146819v1
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THE STABILITY ANALYSIS OF BRAIN LACTATE KINETICS

Jean-Pierre Françoise , Hongjun Ji
Discrete and Continuous Dynamical Systems - Series S, 2020, 13 (8), pp.2135 - 2143. ⟨10.3934/dcdss.2020182⟩
Journal articles hal-02648587v1
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Second Order Melnikov Functions of Piecewise Hamiltonian Systems

Jean-Pierre Françoise , Jiang Yu , Peixing Yang
International journal of bifurcation and chaos in applied sciences and engineering , 2020, 12 (01), pp.29 - 31. ⟨10.1142/S0218127420500169⟩
Journal articles hal-02507452v1
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Parabolic bursting, spike-adding, dips and slices in a minimal model

Mathieu Desroches , Jean-Pierre Françoise , Martin Krupa
Mathematical Modelling of Natural Phenomena, 2019, Mathematical Modelling of Natural Phenomena (MMNP), 14, ⟨10.1051/mmnp/2019018⟩
Journal articles hal-01911267v1
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Global Dynamics of a Piecewise Smooth System for Brain Lactate Metabolism

J.-P. Françoise , Hongjun Ji , Dongmei Xiao , Jiang Yu
Qualitative Theory of Dynamical Systems, 2019, 18 (1), pp.315-332. ⟨10.1007/s12346-018-0286-z⟩
Journal articles hal-02168380v1

Global Dynamics of a Piecewise Smooth System for Brain Lactate Metabolism

J.-P. Françoise , Hongjun Ji , Dongmei Xiao , Jiang Yu
Qualitative Theory of Dynamical Systems, 2019, 18 (1), pp.315-332. ⟨10.1007/s12346-018-0286-z⟩
Journal articles hal-03639678v1
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New schemes of dynamic preservation of diversity. Remarks on stability and topology

Evariste Sanchez-Palencia , Jean-Pierre Françoise
Acta Biotheoretica, 2018, pp.1-13. ⟨10.1007/s10441-019-09353-z⟩
Journal articles hal-02289362v1

Preface

Hermine Biermé , Jean-Pierre Françoise , Rémy Guillevin , Alain Miranville
Acta Biotheoretica, 2016, 64 (4), pp.309 - 310. ⟨10.1007/s10441-016-9300-5⟩
Journal articles hal-01407205v1

Constrained evolution processes and emergence of organized diversity

E. Sanchez-Palencia , Jean-Pierre Françoise
Mathematical Methods in the Applied Sciences, 2016, 39 (1), pp.104 - 133. ⟨10.1002/mma.3463⟩
Journal articles hal-01398646v1

A Mathematical Model for Alternation of Polygamy and Parthenogenesis: Stability Versus Efficiency and Analogy with Parasitism

Evariste Sanchez-Palencia , Philippe Lherminier , Jean-Pierre Françoise
Acta Biotheoretica, 2016, 64 (4), pp.537 - 552. ⟨10.1007/s10441-016-9293-0⟩
Journal articles hal-01402764v1
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Canard-induced loss of stability across a homoclinic bifurcation

Mathieu Desroches , Jean-Pierre Françoise , Lucile Mégret
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2015, Volume 20 - 2015 - Special issue - Colloquium in Honor of Éric Benoît, pp.47-62. ⟨10.46298/arima.1989⟩
Journal articles hal-01093445v2

Analytic extension of the Birkhoff normal forms for the free rigid body dynamics on SO (3)

Jean-Pierre Françoise , Daisuke Tarama
Nonlinearity, 2015, 28 (5), pp.1193 - 1216. ⟨10.1088/0951-7715/28/5/1193⟩
Journal articles hal-01398669v1

Perturbation theory of a symmetric center within Liénard equations

Jean-Pierre Françoise , Dongmei Xiao
Journal of Differential Equations, 2015, 259 (6), pp.2408 - 2429. ⟨10.1016/j.jde.2015.03.039⟩
Journal articles hal-01398662v1

From Abel equations to Jacobian conjecture

Jean-Pierre Françoise
Publicacions Matemàtiques., 2014, volume EXTRA, pp. 209-219
Journal articles hal-01407994v1

Structural Instability and Emergence of the Biodiversity

E. Sanchez-Palencia , Jean-Pierre Françoise
Acta Biotheoretica, 2013, 61 (3), pp.397 - 412. ⟨10.1007/s10441-013-9193-5⟩
Journal articles hal-01413862v1

INVERSION OF A MAPPING ASSOCIATED WITH THE AOMOTO–FORRESTER SYSTEM

Raquel Caseiro , Jean-Pierre Françoise , Ryu Sasaki
Reviews in Mathematical Physics, 2013, 25 (10), ⟨10.1142/S0129055X13430095⟩
Journal articles hal-01398713v1

On a Minimal Model for Hemodynamics and Metabolism of Lactate: Application to Low Grade Glioma and Therapeutic Strategies

Marion Lahutte-Auboin , Rémy Guillevin , Jean-Pierre Françoise , Jean-Noël Vallée , Robert Costalat
Acta Biotheoretica, 2013, 61 (1), pp.79 - 89
Journal articles hal-01406295v1

Rigid motions: Action-angles, relative cohomology and polynomials with roots on the unit circle

Jean-Pierre Françoise , P. L. Garrido , G. Gallavotti
Journal of Mathematical Physics, 2013, 54 (3), ⟨10.1063/1.4794089⟩
Journal articles hal-01398740v1
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Canard cycles in global dynamics

Alexandre Vidal , Jean-Pierre Françoise
International journal of bifurcation and chaos in applied sciences and engineering , 2012, 22 (2), 13 p. ⟨10.1142/S0218127412500265⟩
Journal articles hal-00440868v1

Poincaré–Andronov–Hopf Bifurcation and the Local Hilbert’s 16th Problem

Jean-Pierre Françoise
Qualitative Theory of Dynamical Systems, 2012, 11 (1), pp.61 - 77. ⟨10.1007/s12346-012-0071-3⟩
Journal articles hal-01398749v1

Reduced Models for Unidirectional Block Conduction and Their Geometrical Setting

Linda El Alaoui , Jean-Pierre Françoise , M. Landau
Acta Biotheoretica, 2012, 60 (1-2), pp.131 - 137
Journal articles hal-01407204v1
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Mathematical Modeling of Metabolism and Hemodynamics

R. Costalat , Jean-Pierre Françoise , C. Menuel , M. Lahutte , J. Vallée
Acta Biotheoretica, 2012, 60 (1-2), pp.99 - 107. ⟨10.1007/s10441-012-9157-1⟩
Journal articles hal-01406297v1

Integrability and limit cycles for Abel equations

Jean-Pierre Françoise
Banach Center Publications, 2011, 94, pp.187 - 196. ⟨10.4064/bc94-0-11⟩
Journal articles hal-01398751v1

Moment vanishing problem and positivity: Some examples

Jean-Pierre Françoise , F. Pakovich , Y. Yomdin , W. Zhao
Bulletin des Sciences Mathématiques, 2011, 135 (1), pp.10 - 32. ⟨10.1016/j.bulsci.2010.06.002⟩
Journal articles hal-01398731v1

Analytical study of a triple Hopf bifurcation in a tritrophic food chain model

Jean-Pierre Françoise , Jaume Llibre
Applied Mathematics and Computation, 2011, 217 (17), pp.7146 - 7154. ⟨10.1016/j.amc.2011.01.109⟩
Journal articles hal-01398757v1

Mathematical modeling of energy metabolism and hemodynamics of WHO grade II gliomas using in vivo MR data

Rémy Guillevin , Carole Menuel , Jean-Noël Vallée , Jean-Pierre Françoise , Laurent Capelle
Comptes Rendus Biologies, 2011, 334 (1), pp.31 - 38
Journal articles hal-01406299v1

Pendulum, elliptic functions, and relative cohomology classes

Jean-Pierre Françoise , P. L. Garrido , G. Gallavotti
Journal of Mathematical Physics, 2010, 51 (3), ⟨10.1063/1.3316076⟩
Journal articles hal-01398761v1

Propagation of bursting oscillations

B. Ambrosio , Jean-Pierre Françoise
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, 367 (1908), pp.4863 - 4875. ⟨10.1098/rsta.2009.0143⟩
Journal articles hal-01398770v1

On persistence and invading species in ecological dynamics

E. Sanchez-Palencia , J.-P. Françoise
Differential Equations and Applications, 2009, 3, pp.297-320. ⟨10.7153/dea-2021-13-17⟩
Journal articles hal-03636114v1

From biological and clinical experiments to mathematical models.

Jacques Demongeot , Jean-Pierre Françoise , David Nerini
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009, pp.4657-63. ⟨10.1098/rsta.2009.0187⟩
Journal articles hal-01406300v1

Parametric Centers for Trigonometric Abel Equations

Jean-Pierre Françoise
Journal of Dynamics and Differential Equations, 2008, 20 (4), pp.777 - 786. ⟨10.1007/s10884-008-9107-4⟩
Journal articles hal-01398810v1

Analytic continuation and fixed points of the Poincaré mapping for a polynomial Abel equation

Jean-Pierre Françoise , N. Roytvarf , Y. Yomdin
Journal of the European Mathematical Society, 2008, pp.543 - 570. ⟨10.4171/JEMS/122⟩
Journal articles hal-01398807v1
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SAPHIR: a physiome core model of body fluid homeostasis and blood pressure regulation

S. Randall Thomas , Pierre Baconnier , Julie Fontecave , Jean-Pierre Françoise , François Guillaud
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2008, 366 (1878), pp.3175-3197. ⟨10.1098/rsta.2008.0079⟩
Journal articles hal-00339613v1

Enhanced delay to bifurcation

Jean-Pierre Françoise , Claude Piquet Alexandre Vidal
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008, Dynamics in perturbations, 15, pp.825-831
Journal articles hal-01408097v1

Mathematical modeling of the GnRH pulse and surge generator

Frédérique Clément , Jean-Pierre Françoise
SIAM Journal on Applied Dynamical Systems, 2007, 6 (2), pp.441-456. ⟨10.1137/060673825⟩
Journal articles inria-00343954v1

Periodic solutions of nonlinear periodic differential systems with a small parameter.

Adriana Buica , Jean-Pierre Françoise , Jaume Llibre
Communications on Pure and Applied Analysis, 2007, 6 (1), pp.103-111
Journal articles hal-01415402v1
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SAPHIR - a multi-scale, multi-resolution modeling environment targeting blood pressure regulation and fluid homeostasis.

S. Randall Thomas , Enas Abdulhay , Pierre Baconnier , Julie Fontecave , Jean-Pierre Françoise
Conference proceedings : .. Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference, 2007, 2007, pp.6649-52. ⟨10.1109/IEMBS.2007.4353884⟩
Journal articles hal-00282452v1

New solvable many-body problems in the plane

Jean-Pierre Françoise , F. Calogero
Journal of Nonlinear Mathematical Physics, 2006, 13, pp.231-254
Journal articles hal-00112246v1

Iterated Integrals, Gelfand—Leray Residue, and First Return Mapping

Jean-Pierre Françoise , M. Pelletier
Journal of Dynamical and Control Systems, 2006, 12 (3), pp.357 - 369. ⟨10.1007/s10450-006-0004-z⟩
Journal articles hal-01401488v1

Approximation for limit cycles and their isochrons

Jacques Demongeot , Jean-Pierre Françoise
Comptes Rendus Biologies, 2006, 329 (12), pp.967 - 970. ⟨10.1016/j.crvi.2006.05.005⟩
Journal articles hal-01407202v1

Isochronous systems and perturbation theory

Jean-Pierre Françoise
Journal of Nonlinear Mathematical Physics, 2005, 1, pp.315-326
Journal articles hal-00020202v1

Hysteresis Dynamics, Bursting Oscillations and Evolution to Chaotic Regimes

Jean-Pierre Françoise , C. Piquet
Acta Biotheoretica, 2005, 53 (4), pp.381 - 392
Journal articles hal-01407201v1

Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations

Magdalena Caubergh , Jean-Pierre Françoise
Qualitative Theory of Dynamical Systems, 2004, 5 (2), pp.195 - 222. ⟨10.1007/BF02972678⟩
Journal articles hal-01401491v1

Local bifurcations of limit cycles, Abel equations and Liénard systems

Jean-Pierre Françoise
Kluwer Acad. Publ., Dordrecht, 2004, 1, pp.187-209
Journal articles hal-00020205v1

Isochronous motions galore: nonlinearly coupled oscillators with lots of isochronous solutions.

F. Calogero , Jean-Pierre Françoise
American Mathematical Society, 2004, 1, pp.15-27
Journal articles hal-00020204v1

Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions

F Calogero , Jean-Pierre Françoise , M Sommacal
Journal of Nonlinear Mathematical Physics, 2003, 10 (2), pp.157 - 214. ⟨10.2991/jnmp.2003.10.2.4⟩
Journal articles hal-01408108v1

Periodic Motions Galore: How to Modify Nonlinear Evolution Equations so that They Feature a Lot of Periodic Solutions

F Calogero , Jean-Pierre Françoise
Journal of Nonlinear Mathematical Physics, 2002, 9 (1), pp.99 - 125. ⟨10.2991/jnmp.2002.9.1.9⟩
Journal articles hal-01408109v1

A differential geometry approach for biomedical image processing.

Jacques Demongeot , Jean-Pierre Françoise , Mathieu Richard , Franck Senegas , Thierry-Pascal Baum
Comptes Rendus Biologies, 2002, pp.367-74. ⟨10.1016/s1631-0691(02)01459-2⟩
Journal articles hal-01407194v1

Analytic properties of the return mapping of Liénard equations

Jean-Pierre Françoise
Mathematical Research Letters, 2002, 9 (3), pp.255 - 266. ⟨10.4310/MRL.2002.v9.n3.a3⟩
Journal articles hal-01401498v1

Quadratic algebra associated with rational Calogero-Moser models

R. Caseiro , Jean-Pierre Françoise , R. Sasaki
Journal of Mathematical Physics, 2001, 42 (11), ⟨10.1063/1.1404387⟩
Journal articles hal-01401518v1

Periodic solutions of a many-rotator problem in the plane

F Calogero , Jean-Pierre Françoise
Inverse Problems, 2001, 17 (4), pp.871 - 878. ⟨10.1088/0266-5611/17/4/319⟩
Journal articles hal-01401510v1

Extension of Bautin theory to any dimension

Jean-Pierre Françoise
Qualitative Theory of Dynamical Systems, 2001, 2 (1), pp.145 - 150. ⟨10.1007/BF02969387⟩
Journal articles hal-01401529v1

Algebraic Linearization of Hyperbolic Ruijsenaars–Schneider Systems

R Caseiro , Jean-Pierre Françoise
Journal of Nonlinear Mathematical Physics, 2001, 8 (sup1), pp.58 - 61. ⟨10.2991/jnmp.2001.8.s.11⟩
Journal articles hal-01408115v1

Integrable Hamiltonian systems with two degrees of freedom associated with holomorphic functions

C. Doss-Bachelet , Jean-Pierre Françoise
Theoretical and Mathematical Physics, 2000, 122 (2), pp.170 - 175. ⟨10.1007/BF02551194⟩
Journal articles hal-01413875v1

Algebraic linearization of dynamics of Calogero type for any Coxeter group

R. Caseiro , Jean-Pierre Françoise , R. Sasaki
Journal of Mathematical Physics, 2000, 41 (7), ⟨10.1063/1.533370⟩
Journal articles hal-01401577v1

Solution of Certain Integrable Dynamical Systems of Ruijsenaars-Schneider Type with CompletelyPeriodic Trajectories

F. Calogero , Jean-Pierre Françoise
Annales Henri Poincaré, 2000, 1 (1), pp.173 - 191. ⟨10.1007/PL00001000⟩
Journal articles hal-01408117v1

A novel solvable many-body problem with elliptic interactions

Francesco Calogero , Jean-Pierre Françoise
International Mathematics Research Notices, 2000, ⟨10.1155/S1073792800000428⟩
Journal articles hal-01408116v1

Center conditions, compositions of polynomials and moments on algebraic curves

Myriam Briskin , Jean-Pierre Françoise , Yosi Yomdin
Ergodic Theory and Dynamical Systems, 1999
Journal articles hal-01408118v1

The Successive Derivatives of the Period Function of a Plane Vector Field

Jean-Pierre Françoise
Journal of Differential Equations, 1998, 146 (2), pp.320 - 335. ⟨10.1006/jdeq.1998.3437⟩
Journal articles hal-01401585v1

Center conditions III: Parametric and model center problems

M. Briskin , Jean-Pierre Françoise , Y. Yomdin
Israel Journal of Mathematics, 1998, 118 (1), pp.83 - 108. ⟨10.1007/BF02803517⟩
Journal articles hal-01401541v1

The Bautin ideal of the Abel equation

M Briskin , Jean-Pierre Françoise , Y Yomdin
Nonlinearity, 1998, 11 (3), pp.431 - 443. ⟨10.1088/0951-7715/11/3/003⟩
Journal articles hal-01401943v1

Center conditions II: Parametric and model center problems

M. Briskin , Jean-Pierre Françoise , Y. Yomdin
Israel Journal of Mathematics, 1998, 118 (1), pp.61 - 82. ⟨10.1007/BF02803516⟩
Journal articles hal-01401543v1

Une approche au problème du centre-foyer de Poincaré

Miriam Briskin , Jean-Pierre Françoise , Yosi Yomdin
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1998, 326 (11), pp.1295 - 1298. ⟨10.1016/S0764-4442(98)80182-1⟩
Journal articles hal-01408126v1

Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time

F Calogero , Jean-Pierre Françoise
Journal of Physics A: Mathematical and General (1975 - 2006), 1997, 30 (1), pp.211 - 218. ⟨10.1088/0305-4470/30/1/015⟩
Journal articles hal-01403490v1

Bernstein Inequalities and Applications to Analytic Geometry and Differential Equations

Jean-Pierre Françoise , Y. Yomdin
Journal of Functional Analysis, 1997, 146 (1), pp.185 - 205. ⟨10.1006/jfan.1996.3029⟩
Journal articles hal-01403478v1

A completely integrable Hamiltonian system

F. Calogero , Jean-Pierre Françoise
Journal of Mathematical Physics, 1996, 37 (6), ⟨10.1063/1.531536⟩
Journal articles hal-01408135v1

Successive derivatives of a first return map, application to the study of quadratic vector fields

Jean-Pierre Françoise
Ergodic Theory and Dynamical Systems, 1996, 16 (01), ⟨10.1017/S0143385700008725⟩
Journal articles hal-01403493v1

Non-integrable Hamiltonian systems and the Heun equation

Jean-Pierre Françoise , M. Irigoyen
Journal of Geometry and Physics, 1993, 10 (3), pp.231 - 243. ⟨10.1016/0393-0440(93)90016-8⟩
Journal articles hal-01403494v1

Integrable dynamical systems obtained by duplication.

Jean-Pierre Françoise , Francesco Calogero
Annales de l'Institut Henri Poincare Physique Theorique, 1992, 57 (2), pp.167-181
Journal articles hal-01415470v1

Rational solutions of KdV-type equations in dimension 2+1 and m-body problems on the line

Jean-Pierre Françoise , Roman Novikov
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1992, 314 (2), pp.109-113
Journal articles hal-01408286v1

On the period spectrum of a symplectic mapping

Jean-Pierre Françoise , V. Guillemin
Journal of Functional Analysis, 1991, 100 (2), pp.317 - 358. ⟨10.1016/0022-1236(91)90114-K⟩
Journal articles hal-01408147v1

Systèmes hamiltoniens non intégrables et instabilité des solutions d'équations de Hill.

Jean-Pierre Françoise , Maylis Irigoyen
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1990, 311 (3), pp.165-167
Journal articles hal-01415477v1

Matrix second-order differential equations and Hamiltonian systems of quartic type.

Jean-Pierre Françoise , Orlando Ragnisco
Annales de l'Institut Henri Poincare Physique Theorique, 1989, 3, pp.369-375
Journal articles hal-01408292v1

Matrix-second order differential equations and chaotic Hamiltonian systems

A. Celletti , Jean-Pierre Françoise
Zeitschrift für Angewandte Mathematik und Physik, 1989, 40 (6), pp.925 - 930. ⟨10.1007/BF00945813⟩
Journal articles hal-01403496v1

Canonical partition functions of Hamiltonian systems and the stationary phase formula.

Jean-Pierre Françoise
Communications in Mathematical Physics, 1988, 117 (1), pp.37-47
Journal articles hal-01408295v1

Symplectic geometry and integrable m-body problems on the line

Jean-Pierre Françoise
Journal of Mathematical Physics, 1988, 29 (5), ⟨10.1063/1.527956⟩
Journal articles hal-01403497v1

The Arnolʹd formula for algebraically completely integrable systems

Jean-Pierre Françoise
Bulletin of the American Mathematical Society, 1987, 17 (2), pp.301-303
Journal articles hal-01408297v1

Keeping track of limit cycles

Jean-Pierre Françoise , C.C Pugh
Journal of Differential Equations, 1986, 65 (2), pp.139 - 157. ⟨10.1016/0022-0396(86)90030-6⟩
Journal articles hal-01403500v1

Proof of a conjecture of G. Gallavotti and C. Marchioro

Jean-Pierre Françoise
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1986, 303 (16), pp.791-793
Journal articles hal-01408300v1

Sur les action-angles de la toupie de Kowalevski

Jean-Pierre Françoise
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1985, 300 (13), pp.427-430
Journal articles hal-01408304v1

Invariants analytiques des champs de vecteurs de Cn,0.

Jean-Pierre Françoise
Annales de l'Institut Fourier, 1985, 1985 (3), pp.207-214
Journal articles hal-01408303v1

Actions-angles et surfaces de Riemann

Jean-Pierre Françoise
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1985, 301 (11), pp.565-567
Journal articles hal-01408302v1

Réduction simultanée d'un croisement normal et d'un volume

Jean-Pierre Françoise
Boletim da Sociedade Brasileira de Matemática, 1982, 13 (1), pp.79-83
Journal articles hal-01408310v1

An example of diffeomorphism whose semisimple part is divergent

Jean-Pierre Françoise
Anais da Academia Brasileira de Ciências, 1982, 54 (2), pp.297-298
Journal articles hal-01408308v1

Domaines de linéarisation asymptotique pour des champs de vecteurs

Jean-Pierre Françoise
Mathematische Annalen, 1981, 255 (4), pp.431-442
Journal articles hal-01408312v1

Singularités de champs à plans invariants

Jean-Pierre Françoise
C. R. Acad. Sci. Paris Sér. A-B, 1980, 290 (6), pp.A275-A277
Journal articles hal-01408317v1

Sur les formes normales de champs de vecteurs

Jean-Pierre Françoise
Bollettino dell'Unione Matematica Italiana, 1980, 5 (17), pp.60-66
Journal articles hal-01408315v1

Singularites de champs isochores

Jean-Pierre Françoise
Duke Mathematical Journal, 1980, 47 (3), pp.465 - 485. ⟨10.1215/S0012-7094-80-04729-8⟩
Journal articles hal-01403504v1

Systèmes maximaux d'une singularité quasi homogène

Jean-Pierre Françoise
C. R. Acad. Sci. Paris Sér. A-B, 1980, 290 (22), pp.A1061-A1064
Journal articles hal-01408314v1

Le théorème de M. Sébastiani pour une singularité quasi homogène isolée

Jean-Pierre Françoise
Annales de l'Institut Fourier, 1979, 29 (2, vii), pp.247-254
Journal articles hal-01408319v1

Points périodiques de transformations canoniques

Jean-Pierre Françoise
C. R. Acad. Sci. Paris Sér. A-B, 1978, 286 (24), pp.A1215-A1217
Journal articles hal-01408321v1

Systèmes Dynamiques appliqués aux Oscillations

Jean-Pierre Françoise
21ème Congrès Français de Mécanique, 2013, Bordeaux, France
Conference papers hal-01413884v1

Géométrie différentielle Avec 80 figures

Catherine Doss-Bachelet , Jean-Pierre Françoise , Claude Piquet
ellipses. 2011, Mathématiques 2e cycle, 9782729864460
Books hal-01405818v1

Encyclopedia of Mathematical Physics

Jean-Pierre Françoise , Gregory L Naber , Sheung Tsun Tsou
Academic Press an Inprint of Elsevier 2006, 978-0-12-512666-3
Books hal-01405827v1

Oscillations en biologie

Jean-Pierre Françoise
Springer. 46, 2005, Mathématiques & Applications, 978-3-540-25152-1 ⟨10.1007/3-540-37670-4⟩
Books hal-01405808v1

Géométrie analytique et Systèmes Dynamiques

Jean-Pierre Françoise
Presses universitaires de France. 1995
Books hal-01407988v1

Bifurcations of planar vector fields

Jean-Pierre Françoise , Robert Roussarie
Springer-Verlag, 1455, 1990, Lecture Notes in Mathematics, 978-3-540-53509-6
Books hal-01407376v1

Information Geometry and Integrable Hamiltonian Systems

J.-P. Françoise
Geometric Structures of Statistical Physics, Information Geometry, and Learning, 361, Springer International Publishing, pp.141-153, 2021, Springer Proceedings in Mathematics & Statistics, ⟨10.1007/978-3-030-77957-3_8⟩
Book sections hal-03636095v1

Information Geometry and Hamiltonian Systems on Lie Groups

Daisuke Tarama , Jean-Pierre Françoise
Geometric Science of Information, 12829, Springer International Publishing, pp.273-280, 2021, Lecture Notes in Computer Science, ⟨10.1007/978-3-030-80209-7_31⟩
Book sections hal-03636113v1

Cooperativity in Neurons–Astrocytes Coupled Dynamics

J.-P. Françoise , Hongjun Ji
Extended Abstracts Spring 2018, 11, Springer International Publishing, pp.151-154, 2019, Trends in Mathematics, ⟨10.1007/978-3-030-25261-8_23⟩
Book sections hal-03639667v1

Systèmes multi-échelles impulsionnels au voisinage de leur courbe critique

Jean-Pierre Françoise , Marion Lahutte-Auboin
Nicolas Glade & Angélique Stephanou. Le vivant critique et chaotique, Editions Matériologiques, 2015, Collection ``Modélisations, Simulations, Systèmes complexes"
Book sections hal-01408481v1

Analytic extension of Birkhoff normal forms for Hamiltonian systems of one degree of freedom—simple pendulum and free rigid body dynamics.

Jean-Pierre Françoise , Daisuke Tarama
RIMS Kôkyûroku Bessatsu, B52, Res. Inst. Math. Sci. (RIMS), Kyoto. Exponential analysis of differential equations and related topics, pp.219-236, 2014
Book sections hal-01407991v1

The theory of limit cycles

Jean-Pierre Françoise
Amer. Math. Soc., Providence, RI,. The scientific legacy of Poincaré, 36, 2010, Hist. Math
Book sections hal-01408089v1

Mathématiques, biologie et médecine

Jean-Pierre Françoise
Académie des Sciences. Les mathématiques dans le monde scientifique contemporain, 20, Editions Tec & Doc, Lavoisier, pp.145-162, 2005, Rapport sur la science et la technologie
Book sections hal-01408484v1

Generalized moments, center-focus conditions, and compositions of polynomials

Myriam Briskin , Jean-Pierre Françoise , Yosi Yomdin
Operator theory, system theory and related topics (Beer-Sheva/Rehovot, 1997), 123, 2001, Oper. Theory Adv. Appl
Book sections hal-01408113v1

An iterative process on quartics and integrable symplectic maps

Jean-Pierre Françoise , Orlando Ragnisco
Cambridge Univ. Press, Cambridge. Symmetries and integrability of difference equations (Canterbury, 1996), 255, pp.56-63, 1999, London Math. Soc. Lecture Note Ser., ⟨10.1017/CBO9780511569432⟩
Book sections hal-01408121v1

Projection of analytic sets and Bernstein inequalities

Jean-Pierre Françoise , Yosi Yomdin
Polish Acad. Sci., Warsaw,. Singularities Symposium—Łojasiewicz 70 (Kraków, 1996; Warsaw, 1996), 44, pp.103-108, 1998, Banach Center Publ
Book sections hal-01408124v1

Birkhoff normal forms and analytic geometry

Jean-Pierre Françoise
Polish Acad. Sci., Warsaw. Symplectic singularities and geometry of gauge fields (Warsaw, 1995), 39, pp.49-56, 1997, Banach Center Publ
Book sections hal-01408130v1

Bounds for the number of connected components of a family of differentiable manifolds

Jean-Pierre Françoise
Real analytic and algebraic geometry (Trento, 1992), de Gruyter, Berlin. pp.131-135, 1995
Book sections hal-01408140v1

The decidability of real algebraic sets by the index formula

Jean-Pierre Françoise , Felice Ronga
Real algebraic geometry (Rennes, 1991), 1524, Springer, pp.235-239, 1992, Lecture Notes in Math
Book sections hal-01408143v1

Systèmes integrables à m-corps sur la droite

Jean-Pierre Françoise
Société Mathématique de France. Analyse globale et physique mathématique (Lyon, 1989), 46, pp.111-122, 1991, Mém. Soc. Math. France (N.S.)
Book sections hal-01408287v1

Intégrales de périodes en géométries symplectique et isochore.

Jean-Pierre Françoise
Géométrie symplectique et mécanique (La Grande Motte, 1988), 1416, Springer, pp.105-138, 1990, Lecture Notes in Mathematics
Book sections hal-01408290v1

Real abelian varieties and the singularities of an integrable Hamiltonian system

Jean-Pierre Françoise , Robert Silhol
Real analytic and algebraic geometry (Trento, 1988), 1420, Springer, pp.121-127, 1990, Lecture Notes in Math
Book sections hal-01408288v1

Relative cohomology and volume forms.

Jean-Pierre Françoise
Polish Acad. Sci., Warsaw. Singularities (Warsaw, 1985), 20, pp.207-222, 1988, Banach Center Publications
Book sections hal-01408293v1

Symplectic geometry and soliton theory

Jean-Pierre Françoise
Topics in soliton theory and exactly solvable nonlinear equations (Oberwolfach, 1986), World Sci. Publishing, pp.300-306, 1987
Book sections hal-01408298v1

Monodromy and the Kowalevskaya top

Jean-Pierre Françoise
. Singularités d'équations différentielles (Dijon, 1985), 150-151, Société Mathématique de France, pp.87-108, 1987, Astérisque
Book sections hal-01408296v1

Explicit action-angle computations

Jean-Pierre Françoise
Presses Univ. Montréal, Montreal, QC. Systèmes dynamiques non linéaires: intégrabilité et comportement qualitatif, 102, pp.101-120, 1986, Séminaire de mathématiques supérieures
Book sections hal-01408301v1

Estimations uniformes pour les domaines de convergence de la méthode de Newton

Jean-Pierre Françoise
Séminaire sur la géométrie algébrique réelle, Tome I, II, 24, Université de Paris VII, pp.111-121, 1986, Publ. Math. Univ. Paris VII
Book sections hal-01408299v1

Hilbert's problem 16 (B)

Jean-Pierre Françoise
. Ordered fields and real algebraic geometry (Boulder, Colo., 1983), 14 (4), 1984, Rocky Mountain Journal of Mathematics
Book sections hal-01408305v1

Propriétés de généricité des transformations canoniques

Jean-Pierre Françoise
Geometric dynamics (Rio de Janeiro, 1981), 1007, Springer, pp.216-260, 1983, Lecture Notes in Mathematics
Book sections hal-01408307v1

Modèle local simultané d'une fonction et d'une forme de volume

Jean-Pierre Françoise
Société Mathématique de France. Journées Singulières de Dijon (Univ. Dijon, Dijon, 1978), 59-60, pp.119-130, 1978, Astérisque
Book sections hal-01408323v1