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Number of documents

127

Notice des travaux

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).

Journal articles94 documents

  • E. Sanchez-Palencia, J.-P. Françoise. On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions. Acta Biotheoretica, Springer Verlag, In press, ⟨10.1007/s10441-021-09413-3⟩. ⟨hal-03244151⟩
  • Jean-Pierre Françoise, Hongjin He, Dongmei Xiao. THE NUMBER OF LIMIT CYCLES BIFURCATING FROM THE PERIOD ANNULUS OF QUASI-HOMOGENEOUS HAMILTONIAN SYSTEMS AT ANY ORDER. Journal of Differential Equations, Elsevier, 2021, 276, pp.318-341. ⟨10.1016/j.jde.2020.12.015⟩. ⟨hal-03146819⟩
  • Jean-Pierre Françoise, Peixing yang. QUADRATIC DOUBLE CENTERS AND THEIR PERTURBATIONS. Journal of Differential Equations, Elsevier, 2021, 271, pp.563-593. ⟨10.1016/j.jde.2020.08.035⟩. ⟨hal-03099677⟩
  • E. Sanchez-Palencia, J.-P. Françoise. On Predation–Commensalism Processes as Models of Bi-stability and Constructive Role of Systemic Extinctions. Acta Biotheoretica, Springer Verlag, 2021, 69 (4), pp.497-510. ⟨10.1007/s10441-021-09413-3⟩. ⟨hal-03636121⟩
  • Jean-Pierre Françoise, Hongjun Ji. THE STABILITY ANALYSIS OF BRAIN LACTATE KINETICS. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2020, 13 (8), pp.2135 - 2143. ⟨10.3934/dcdss.2020182⟩. ⟨hal-02648587⟩
  • Jean-Pierre Françoise, Jiang yu, Peixing yang. Second Order Melnikov Functions of Piecewise Hamiltonian Systems. International journal of bifurcation and chaos in applied sciences and engineering , World Scientific Publishing, 2020, 12 (01), pp.29 - 31. ⟨10.1142/S0218127420500169⟩. ⟨hal-02507452⟩
  • Mathieu Desroches, Jean-Pierre Françoise, Martin Krupa. Parabolic bursting, spike-adding, dips and slices in a minimal model. Mathematical Modelling of Natural Phenomena, EDP Sciences, 2019, Mathematical Modelling of Natural Phenomena (MMNP), ⟨10.1051/mmnp/2019018⟩. ⟨hal-01911267⟩
  • J.-P. Françoise, Hongjun Ji, Dongmei Xiao, Jiang yu. Global Dynamics of a Piecewise Smooth System for Brain Lactate Metabolism. Qualitative Theory of Dynamical Systems, SP Birkhäuser Verlag Basel, 2019, 18 (1), pp.315-332. ⟨10.1007/s12346-018-0286-z⟩. ⟨hal-03639678⟩
  • J.-P. Françoise, Hongjun Ji, Dongmei Xiao, Jiang yu. Global Dynamics of a Piecewise Smooth System for Brain Lactate Metabolism. Qualitative Theory of Dynamical Systems, SP Birkhäuser Verlag Basel, 2019, 18 (1), pp.315-332. ⟨10.1007/s12346-018-0286-z⟩. ⟨hal-02168380⟩
  • Evariste Sanchez-Palencia, Jean-Pierre Françoise. New schemes of dynamic preservation of diversity. Remarks on stability and topology. Acta Biotheoretica, Springer Verlag, 2018, pp.1-13. ⟨10.1007/s10441-019-09353-z⟩. ⟨hal-02289362⟩
  • E. Sanchez-Palencia, Jean-Pierre Françoise. Constrained evolution processes and emergence of organized diversity. Mathematical Methods in the Applied Sciences, Wiley, 2016, 39 (1), pp.104 - 133. ⟨10.1002/mma.3463⟩. ⟨hal-01398646⟩
  • Evariste Sanchez-Palencia, Philippe Lherminier, Jean-Pierre Françoise. A Mathematical Model for Alternation of Polygamy and Parthenogenesis: Stability Versus Efficiency and Analogy with Parasitism. Acta Biotheoretica, Springer Verlag, 2016, 64 (4), pp.537 - 552. ⟨10.1007/s10441-016-9293-0⟩. ⟨hal-01402764⟩
  • Hermine Biermé, Jean-Pierre Françoise, Rémy Guillevin, Alain Miranville. Preface. Acta Biotheoretica, Springer Verlag, 2016, 64 (4), pp.309 - 310. ⟨10.1007/s10441-016-9300-5⟩. ⟨hal-01407205⟩
  • Mathieu Desroches, Jean-Pierre Françoise, Lucile Mégret. Canard-induced loss of stability across a homoclinic bifurcation. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2015, Volume 20 - 2015 - Special issue - Colloquium in Honor of Éric Benoît, pp.47-62. ⟨10.46298/arima.1989⟩. ⟨hal-01093445v2⟩
  • Jean-Pierre Françoise, Daisuke Tarama. Analytic extension of the Birkhoff normal forms for the free rigid body dynamics on SO (3). Nonlinearity, IOP Publishing, 2015, 28 (5), pp.1193 - 1216. ⟨10.1088/0951-7715/28/5/1193⟩. ⟨hal-01398669⟩
  • Jean-Pierre Françoise, Dongmei Xiao. Perturbation theory of a symmetric center within Liénard equations. Journal of Differential Equations, Elsevier, 2015, 259 (6), pp.2408 - 2429. ⟨10.1016/j.jde.2015.03.039⟩. ⟨hal-01398662⟩
  • Jean-Pierre Françoise. From Abel equations to Jacobian conjecture. Publicacions Matemàtiques., 2014, volume EXTRA, pp. 209-219. ⟨hal-01407994⟩
  • E. Sanchez-Palencia, Jean-Pierre Françoise. Structural Instability and Emergence of the Biodiversity. Acta Biotheoretica, Springer Verlag, 2013, 61 (3), pp.397 - 412. ⟨10.1007/s10441-013-9193-5⟩. ⟨hal-01413862⟩
  • Jean-Pierre Françoise, P. L. Garrido, G. Gallavotti. Rigid motions: Action-angles, relative cohomology and polynomials with roots on the unit circle. Journal of Mathematical Physics, American Institute of Physics (AIP), 2013, 54 (3), ⟨10.1063/1.4794089⟩. ⟨hal-01398740⟩
  • Marion Lahutte-Auboin, Rémy Guillevin, Jean-Pierre Françoise, Jean-Noël Vallée, Robert Costalat. On a Minimal Model for Hemodynamics and Metabolism of Lactate: Application to Low Grade Glioma and Therapeutic Strategies. Acta Biotheoretica, Springer Verlag, 2013, 61 (1), pp.79 - 89. ⟨hal-01406295⟩
  • Raquel Caseiro, Jean-Pierre Françoise, Ryu Sasaki. INVERSION OF A MAPPING ASSOCIATED WITH THE AOMOTO–FORRESTER SYSTEM. Reviews in Mathematical Physics, World Scientific Publishing, 2013, 25 (10), ⟨10.1142/S0129055X13430095⟩. ⟨hal-01398713⟩
  • Alexandre Vidal, Jean-Pierre Françoise. Canard cycles in global dynamics. International journal of bifurcation and chaos in applied sciences and engineering , World Scientific Publishing, 2012, 22 (2), 13 p. ⟨10.1142/S0218127412500265⟩. ⟨hal-00440868⟩
  • Jean-Pierre Françoise. Poincaré–Andronov–Hopf Bifurcation and the Local Hilbert’s 16th Problem. Qualitative Theory of Dynamical Systems, SP Birkhäuser Verlag Basel, 2012, 11 (1), pp.61 - 77. ⟨10.1007/s12346-012-0071-3⟩. ⟨hal-01398749⟩
  • R. Costalat, Jean-Pierre Françoise, C. Menuel, M. Lahutte, J. Vallée, et al.. Mathematical Modeling of Metabolism and Hemodynamics. Acta Biotheoretica, Springer Verlag, 2012, 60 (1-2), pp.99 - 107. ⟨10.1007/s10441-012-9157-1⟩. ⟨hal-01406297⟩
  • Linda El Alaoui, Jean-Pierre Françoise, M. Landau. Reduced Models for Unidirectional Block Conduction and Their Geometrical Setting. Acta Biotheoretica, Springer Verlag, 2012, 60 (1-2), pp.131 - 137. ⟨hal-01407204⟩
  • Jean-Pierre Françoise, F. Pakovich, y. yomdin, W. Zhao. Moment vanishing problem and positivity: Some examples. Bulletin des Sciences Mathématiques, Elsevier, 2011, 135 (1), pp.10 - 32. ⟨10.1016/j.bulsci.2010.06.002⟩. ⟨hal-01398731⟩
  • Jean-Pierre Françoise. Integrability and limit cycles for Abel equations. Banach Center Publications, Institute of Mathematics Polish Academy of Sciences, 2011, 94, pp.187 - 196. ⟨10.4064/bc94-0-11⟩. ⟨hal-01398751⟩
  • Rémy Guillevin, Carole Menuel, Jean-Noël Vallée, Jean-Pierre Françoise, Laurent Capelle, et al.. Mathematical modeling of energy metabolism and hemodynamics of WHO grade II gliomas using in vivo MR data. Comptes Rendus Biologies, Elsevier, 2011, 334 (1), pp.31 - 38. ⟨hal-01406299⟩
  • Jean-Pierre Françoise, Jaume Llibre. Analytical study of a triple Hopf bifurcation in a tritrophic food chain model. Applied Mathematics and Computation, Elsevier, 2011, 217 (17), pp.7146 - 7154. ⟨10.1016/j.amc.2011.01.109⟩. ⟨hal-01398757⟩
  • Jean-Pierre Françoise, P. L. Garrido, G. Gallavotti. Pendulum, elliptic functions, and relative cohomology classes. Journal of Mathematical Physics, American Institute of Physics (AIP), 2010, 51 (3), ⟨10.1063/1.3316076⟩. ⟨hal-01398761⟩
  • B. Ambrosio, Jean-Pierre Françoise. Propagation of bursting oscillations. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2009, 367 (1908), pp.4863 - 4875. ⟨10.1098/rsta.2009.0143⟩. ⟨hal-01398770⟩
  • Jacques Demongeot, Jean-Pierre Françoise, David Nerini. From biological and clinical experiments to mathematical models.. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2009, pp.4657-63. ⟨hal-01406300⟩
  • E. Sanchez-Palencia, J.-P. Françoise. On persistence and invading species in ecological dynamics. Differential Equations and Applications, Element, 2009, pp.297-320. ⟨10.7153/dea-2021-13-17⟩. ⟨hal-03636114⟩
  • Jean-Pierre Françoise. Parametric Centers for Trigonometric Abel Equations. Journal of Dynamics and Differential Equations, Springer Verlag, 2008, 20 (4), pp.777 - 786. ⟨10.1007/s10884-008-9107-4⟩. ⟨hal-01398810⟩
  • Jean-Pierre Françoise, N. Roytvarf, y. yomdin. Analytic continuation and fixed points of the Poincaré mapping for a polynomial Abel equation. Journal of the European Mathematical Society, European Mathematical Society, 2008, pp.543 - 570. ⟨10.4171/JEMS/122⟩. ⟨hal-01398807⟩
  • Jean-Pierre Françoise, Claude Piquet Alexandre Vidal. Enhanced delay to bifurcation . Bulletin of the Belgian Mathematical Society - Simon Stevin, Belgian Mathematical Society, 2008, Dynamics in perturbations, 15, pp.825-831. ⟨hal-01408097⟩
  • S. Randall Thomas, Pierre Baconnier, Julie Fontecave, Jean-Pierre Françoise, François Guillaud, et al.. SAPHIR: a physiome core model of body fluid homeostasis and blood pressure regulation. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2008, 366 (1878), pp.3175-3197. ⟨10.1098/rsta.2008.0079⟩. ⟨hal-00339613⟩
  • S. Randall Thomas, Enas Abdulhay, Pierre Baconnier, Julie Fontecave, Jean-Pierre Françoise, et al.. SAPHIR - a multi-scale, multi-resolution modeling environment targeting blood pressure regulation and fluid homeostasis.. Conference proceedings : .. Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference, Institute of Electrical and Electronics Engineers (IEEE), 2007, 2007, pp.6649-52. ⟨10.1109/IEMBS.2007.4353884⟩. ⟨hal-00282452⟩
  • Frédérique Clément, Jean-Pierre Françoise. Mathematical modeling of the GnRH pulse and surge generator. SIAM Journal on Applied Dynamical Systems, Society for Industrial and Applied Mathematics, 2007, 6 (2), pp.441-456. ⟨10.1137/060673825⟩. ⟨inria-00343954⟩
  • Adriana Buica, Jean-Pierre Françoise, Jaume Llibre. Periodic solutions of nonlinear periodic differential systems with a small parameter.. Communications on Pure and Applied Analysis, AIMS American Institute of Mathematical Sciences, 2007, 6 (1), pp.103-111. ⟨hal-01415402⟩
  • Jean-Pierre Françoise, F. Calogero. New solvable many-body problems in the plane. Journal of Nonlinear Mathematical Physics, Taylor & Francis, 2006, 13, pp.231-254. ⟨hal-00112246⟩
  • Jean-Pierre Françoise, M. Pelletier. Iterated Integrals, Gelfand—Leray Residue, and First Return Mapping. Journal of Dynamical and Control Systems, Springer Verlag, 2006, 12 (3), pp.357 - 369. ⟨10.1007/s10450-006-0004-z⟩. ⟨hal-01401488⟩
  • Jacques Demongeot, Jean-Pierre Françoise. Approximation for limit cycles and their isochrons. Comptes Rendus Biologies, Elsevier, 2006, 329 (12), pp.967 - 970. ⟨hal-01407202⟩
  • Jean-Pierre Françoise. Isochronous systems and perturbation theory. Journal of Nonlinear Mathematical Physics, Taylor & Francis, 2005, 1, pp.315-326. ⟨hal-00020202⟩
  • Jean-Pierre Françoise, C. Piquet. Hysteresis Dynamics, Bursting Oscillations and Evolution to Chaotic Regimes. Acta Biotheoretica, Springer Verlag, 2005, 53 (4), pp.381 - 392. ⟨hal-01407201⟩
  • Magdalena Caubergh, Jean-Pierre Françoise. Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations. Qualitative Theory of Dynamical Systems, SP Birkhäuser Verlag Basel, 2004, 5 (2), pp.195 - 222. ⟨10.1007/BF02972678⟩. ⟨hal-01401491⟩
  • Jean-Pierre Françoise. Local bifurcations of limit cycles, Abel equations and Liénard systems. Kluwer Acad. Publ., Dordrecht, 2004, 1, pp.187-209. ⟨hal-00020205⟩
  • F. Calogero, Jean-Pierre Françoise. Isochronous motions galore: nonlinearly coupled oscillators with lots of isochronous solutions.. American Mathematical Society, 2004, 1, pp.15-27. ⟨hal-00020204⟩
  • F Calogero, Jean-Pierre Françoise, M Sommacal. Periodic Solutions of a Many-Rotator Problem in the Plane. II. Analysis of Various Motions. Journal of Nonlinear Mathematical Physics, Taylor & Francis, 2003, 10 (2), pp.157 - 214. ⟨10.2991/jnmp.2003.10.2.4⟩. ⟨hal-01408108⟩
  • F Calogero, Jean-Pierre Françoise. Periodic Motions Galore: How to Modify Nonlinear Evolution Equations so that They Feature a Lot of Periodic Solutions. Journal of Nonlinear Mathematical Physics, Taylor & Francis, 2002, 9 (1), pp.99 - 125. ⟨10.2991/jnmp.2002.9.1.9⟩. ⟨hal-01408109⟩
  • Jean-Pierre Françoise. Analytic properties of the return mapping of Liénard equations. Mathematical Research Letters, 2002, 9 (3), pp.255 - 266. ⟨10.4310/MRL.2002.v9.n3.a3⟩. ⟨hal-01401498⟩
  • Jacques Demongeot, Jean-Pierre Françoise, Mathieu Richard, Franck Senegas, Thierry-Pascal Baum. A differential geometry approach for biomedical image processing.. Comptes Rendus Biologies, Elsevier, 2002, pp.367-74. ⟨hal-01407194⟩
  • R. Caseiro, Jean-Pierre Françoise, R. Sasaki. Quadratic algebra associated with rational Calogero-Moser models. Journal of Mathematical Physics, American Institute of Physics (AIP), 2001, 42 (11), ⟨10.1063/1.1404387⟩. ⟨hal-01401518⟩
  • F Calogero, Jean-Pierre Françoise. Periodic solutions of a many-rotator problem in the plane. Inverse Problems, IOP Publishing, 2001, 17 (4), pp.871 - 878. ⟨10.1088/0266-5611/17/4/319⟩. ⟨hal-01401510⟩
  • R Caseiro, Jean-Pierre Françoise. Algebraic Linearization of Hyperbolic Ruijsenaars–Schneider Systems. Journal of Nonlinear Mathematical Physics, Taylor & Francis, 2001, 8 (sup1), pp.58 - 61. ⟨10.2991/jnmp.2001.8.s.11⟩. ⟨hal-01408115⟩
  • Jean-Pierre Françoise. Extension of Bautin theory to any dimension. Qualitative Theory of Dynamical Systems, SP Birkhäuser Verlag Basel, 2001, 2 (1), pp.145 - 150. ⟨10.1007/BF02969387⟩. ⟨hal-01401529⟩
  • C. Doss-Bachelet, Jean-Pierre Françoise. Integrable Hamiltonian systems with two degrees of freedom associated with holomorphic functions. Theoretical and Mathematical Physics, Consultants bureau, 2000, 122 (2), pp.170 - 175. ⟨10.1007/BF02551194⟩. ⟨hal-01413875⟩
  • R. Caseiro, Jean-Pierre Françoise, R. Sasaki. Algebraic linearization of dynamics of Calogero type for any Coxeter group. Journal of Mathematical Physics, American Institute of Physics (AIP), 2000, 41 (7), ⟨10.1063/1.533370⟩. ⟨hal-01401577⟩
  • F. Calogero, Jean-Pierre Françoise. Solution of Certain Integrable Dynamical Systems of Ruijsenaars-Schneider Type with CompletelyPeriodic Trajectories. Annales Henri Poincaré, Springer Verlag, 2000, 1 (1), pp.173 - 191. ⟨10.1007/PL00001000⟩. ⟨hal-01408117⟩
  • Francesco Calogero, Jean-Pierre Françoise. A novel solvable many-body problem with elliptic interactions . International Mathematics Research Notices, Oxford University Press (OUP), 2000, ⟨10.1155/S1073792800000428⟩. ⟨hal-01408116⟩
  • Myriam Briskin, Jean-Pierre Françoise, yosi yomdin. Center conditions, compositions of polynomials and moments on algebraic curves. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 1999. ⟨hal-01408118⟩
  • Jean-Pierre Françoise. The Successive Derivatives of the Period Function of a Plane Vector Field. Journal of Differential Equations, Elsevier, 1998, 146 (2), pp.320 - 335. ⟨10.1006/jdeq.1998.3437⟩. ⟨hal-01401585⟩
  • M Briskin, Jean-Pierre Françoise, y yomdin. The Bautin ideal of the Abel equation. Nonlinearity, IOP Publishing, 1998, 11 (3), pp.431 - 443. ⟨10.1088/0951-7715/11/3/003⟩. ⟨hal-01401943⟩
  • M. Briskin, Jean-Pierre Françoise, y. yomdin. Center conditions II: Parametric and model center problems. Israël Journal of Mathematics, Hebrew University Magnes Press, 1998, 118 (1), pp.61 - 82. ⟨10.1007/BF02803516⟩. ⟨hal-01401543⟩
  • Miriam Briskin, Jean-Pierre Françoise, yosi yomdin. Une approche au problème du centre-foyer de Poincaré. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Elsevier, 1998, 326 (11), pp.1295 - 1298. ⟨10.1016/S0764-4442(98)80182-1⟩. ⟨hal-01408126⟩
  • M. Briskin, Jean-Pierre Françoise, y. yomdin. Center conditions III: Parametric and model center problems. Israël Journal of Mathematics, Hebrew University Magnes Press, 1998, 118 (1), pp.83 - 108. ⟨10.1007/BF02803517⟩. ⟨hal-01401541⟩
  • F Calogero, Jean-Pierre Françoise. Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time. Journal of Physics A: Mathematical and General (1975 - 2006), IOP Publishing, 1997, 30 (1), pp.211 - 218. ⟨10.1088/0305-4470/30/1/015⟩. ⟨hal-01403490⟩
  • Jean-Pierre Françoise, y. yomdin. Bernstein Inequalities and Applications to Analytic Geometry and Differential Equations. Journal of Functional Analysis, Elsevier, 1997, 146 (1), pp.185 - 205. ⟨10.1006/jfan.1996.3029⟩. ⟨hal-01403478⟩
  • F. Calogero, Jean-Pierre Françoise. A completely integrable Hamiltonian system. Journal of Mathematical Physics, American Institute of Physics (AIP), 1996, 37 (6), ⟨10.1063/1.531536⟩. ⟨hal-01408135⟩
  • Jean-Pierre Françoise. Successive derivatives of a first return map, application to the study of quadratic vector fields. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 1996, 16 (01), ⟨10.1017/S0143385700008725⟩. ⟨hal-01403493⟩
  • Jean-Pierre Françoise, M. Irigoyen. Non-integrable Hamiltonian systems and the Heun equation. Journal of Geometry and Physics, Elsevier, 1993, 10 (3), pp.231 - 243. ⟨10.1016/0393-0440(93)90016-8⟩. ⟨hal-01403494⟩
  • Jean-Pierre Françoise, Francesco Calogero. Integrable dynamical systems obtained by duplication.. Annales de l'Institut Henri Poincare Physique Theorique, Birkhäuser, 1992, 57 (2), pp.167-181. ⟨hal-01415470⟩
  • Jean-Pierre Françoise, Roman Novikov. Rational solutions of KdV-type equations in dimension 2+1 and m-body problems on the line . Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Elsevier, 1992, 314 (2), pp.109-113. ⟨hal-01408286⟩
  • Jean-Pierre Françoise, V. Guillemin. On the period spectrum of a symplectic mapping. Journal of Functional Analysis, Elsevier, 1991, 100 (2), pp.317 - 358. ⟨10.1016/0022-1236(91)90114-K⟩. ⟨hal-01408147⟩
  • Jean-Pierre Françoise, Maylis Irigoyen. Systèmes hamiltoniens non intégrables et instabilité des solutions d'équations de Hill.. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Elsevier, 1990, 311 (3), pp.165-167. ⟨hal-01415477⟩
  • A. Celletti, Jean-Pierre Françoise. Matrix-second order differential equations and chaotic Hamiltonian systems. Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 1989, 40 (6), pp.925 - 930. ⟨10.1007/BF00945813⟩. ⟨hal-01403496⟩
  • Jean-Pierre Françoise, Orlando Ragnisco. Matrix second-order differential equations and Hamiltonian systems of quartic type.. Annales de l'Institut Henri Poincare Physique Theorique, Birkhäuser, 1989, pp.369-375. ⟨hal-01408292⟩
  • Jean-Pierre Françoise. Canonical partition functions of Hamiltonian systems and the stationary phase formula.. Communications in Mathematical Physics, Springer Verlag, 1988, 117 (1), pp.37-47. ⟨hal-01408295⟩
  • Jean-Pierre Françoise. Symplectic geometry and integrable m-body problems on the line. Journal of Mathematical Physics, American Institute of Physics (AIP), 1988, 29 (5), ⟨10.1063/1.527956⟩. ⟨hal-01403497⟩
  • Jean-Pierre Françoise. The Arnolʹd formula for algebraically completely integrable systems. Bulletin of the American Mathematical Society, American Mathematical Society, 1987, 17 (2), pp.301-303. ⟨hal-01408297⟩
  • Jean-Pierre Françoise, C.C Pugh. Keeping track of limit cycles. Journal of Differential Equations, Elsevier, 1986, 65 (2), pp.139 - 157. ⟨10.1016/0022-0396(86)90030-6⟩. ⟨hal-01403500⟩
  • Jean-Pierre Françoise. Proof of a conjecture of G. Gallavotti and C. Marchioro. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Elsevier, 1986, 303 (16), pp.791-793. ⟨hal-01408300⟩
  • Jean-Pierre Françoise. Sur les action-angles de la toupie de Kowalevski. Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Elsevier, 1985, 300 (13), pp.427-430. ⟨hal-01408304⟩
  • Jean-Pierre Françoise. Actions-angles et surfaces de Riemann . Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Elsevier, 1985, 301 (11), pp.565-567. ⟨hal-01408302⟩
  • Jean-Pierre Françoise. Invariants analytiques des champs de vecteurs de Cn,0.. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 1985, 1985 (3), pp.207-214. ⟨hal-01408303⟩
  • Jean-Pierre Françoise. Réduction simultanée d'un croisement normal et d'un volume. Boletim da Sociedade Brasileira de Matemática, Springer-Verlag, 1982, 13 (1), pp.79-83. ⟨hal-01408310⟩
  • Jean-Pierre Françoise. An example of diffeomorphism whose semisimple part is divergent. Anais da Academia Brasileira de Ciências, Academia Brasileira de Ciências, 1982, 54 (2), pp.297-298. ⟨hal-01408308⟩
  • Jean-Pierre Françoise. Domaines de linéarisation asymptotique pour des champs de vecteurs. Mathematische Annalen, Springer Verlag, 1981, 255 (4), pp.431-442. ⟨hal-01408312⟩
  • Jean-Pierre Françoise. Singularités de champs à plans invariants. C. R. Acad. Sci. Paris Sér. A-B, 1980, 290 (6), pp.A275-A277. ⟨hal-01408317⟩
  • Jean-Pierre Françoise. Systèmes maximaux d'une singularité quasi homogène. C. R. Acad. Sci. Paris Sér. A-B, 1980, 290 (22), pp.A1061-A1064. ⟨hal-01408314⟩
  • Jean-Pierre Françoise. Singularites de champs isochores. Duke Mathematical Journal, Duke University Press, 1980, 47 (3), pp.465 - 485. ⟨10.1215/S0012-7094-80-04729-8⟩. ⟨hal-01403504⟩
  • Jean-Pierre Françoise. Sur les formes normales de champs de vecteurs. Bollettino dell'Unione Matematica Italiana, Springer Verlag, 1980, 5 (17), pp.60-66. ⟨hal-01408315⟩
  • Jean-Pierre Françoise. Le théorème de M. Sébastiani pour une singularité quasi homogène isolée. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 1979, 29 (2, vii), pp.247-254. ⟨hal-01408319⟩
  • Jean-Pierre Françoise. Points périodiques de transformations canoniques. C. R. Acad. Sci. Paris Sér. A-B, 1978, 286 (24), pp.A1215-A1217. ⟨hal-01408321⟩

Conference papers1 document

  • Jean-Pierre Françoise. Systèmes Dynamiques appliqués aux Oscillations. 21ème Congrès Français de Mécanique, 2013, Bordeaux, France. ⟨hal-01413884⟩

Books5 documents

  • Catherine Doss-Bachelet, Jean-Pierre Françoise, Claude Piquet. Géométrie différentielle Avec 80 figures. ellipses. 2011, Mathématiques 2e cycle, 9782729864460. ⟨hal-01405818⟩
  • Jean-Pierre Françoise, Gregory L Naber, Sheung Tsun Tsou. Encyclopedia of Mathematical Physics. Academic Press an Inprint of Elsevier 2006, 978-0-12-512666-3. ⟨hal-01405827⟩
  • Jean-Pierre Françoise. Oscillations en biologie : Analyse qualitative et modèles. Springer. 46, 2005, Mathématiques & Applications, 978-3-540-25152-1 ⟨10.1007/3-540-37670-4⟩. ⟨hal-01405808⟩
  • Jean-Pierre Françoise. Géométrie analytique et Systèmes Dynamiques. Presses universitaires de France. 1995. ⟨hal-01407988⟩
  • Jean-Pierre Françoise, Robert Roussarie. Bifurcations of planar vector fields: Proceedings of the meeting held in Luminy, September 18–22, 1989. Springer-Verlag, 1455, 1990, Lecture Notes in Mathematics, 978-3-540-53509-6. ⟨hal-01407376⟩

Book sections24 documents

  • J.-P. Françoise. Information Geometry and Integrable Hamiltonian Systems. 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⟩. ⟨hal-03636095⟩
  • Daisuke Tarama, Jean-Pierre Françoise. Information Geometry and Hamiltonian Systems on Lie Groups. 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⟩. ⟨hal-03636113⟩
  • J.-P. Françoise, Hongjun Ji. Cooperativity in Neurons–Astrocytes Coupled Dynamics. Extended Abstracts Spring 2018, 11, Springer International Publishing, pp.151-154, 2019, Trends in Mathematics, ⟨10.1007/978-3-030-25261-8_23⟩. ⟨hal-03639667⟩
  • Jean-Pierre Françoise, Marion Lahutte-Auboin. Systèmes multi-échelles impulsionnels au voisinage de leur courbe critique. Nicolas Glade & Angélique Stephanou. Le vivant critique et chaotique, Editions Matériologiques, 2015, Collection ``Modélisations, Simulations, Systèmes complexes". ⟨hal-01408481⟩
  • Jean-Pierre Françoise, Daisuke Tarama. Analytic extension of Birkhoff normal forms for Hamiltonian systems of one degree of freedom—simple pendulum and free rigid body dynamics.. RIMS Kôkyûroku Bessatsu, B52, Res. Inst. Math. Sci. (RIMS), Kyoto. Exponential analysis of differential equations and related topics, pp.219-236, 2014. ⟨hal-01407991⟩
  • Jean-Pierre Françoise. The theory of limit cycles. Amer. Math. Soc., Providence, RI,. The scientific legacy of Poincaré, 36, 2010, Hist. Math. ⟨hal-01408089⟩
  • Jean-Pierre Françoise. Mathématiques, biologie et médecine. Académie des Sciences. Les mathématiques dans le monde scientifique contemporain, Editions Tec & Doc, Lavoisier, pp.145-162, 2005, Rapport sur la science et la technologie. ⟨hal-01408484⟩
  • Myriam Briskin, Jean-Pierre Françoise, yosi yomdin. Generalized moments, center-focus conditions, and compositions of polynomials. Operator theory, system theory and related topics (Beer-Sheva/Rehovot, 1997), 2001, Oper. Theory Adv. Appl. ⟨hal-01408113⟩
  • Jean-Pierre Françoise, Orlando Ragnisco. An iterative process on quartics and integrable symplectic maps. Cambridge Univ. Press, Cambridge. Symmetries and integrability of difference equations (Canterbury, 1996), pp.56-63, 1999, London Math. Soc. Lecture Note Ser., ⟨10.1017/CBO9780511569432⟩. ⟨hal-01408121⟩
  • Jean-Pierre Françoise, yosi yomdin. Projection of analytic sets and Bernstein inequalities. Polish Acad. Sci., Warsaw,. Singularities Symposium—Łojasiewicz 70 (Kraków, 1996; Warsaw, 1996), 44, pp.103-108, 1998, Banach Center Publ. ⟨hal-01408124⟩
  • Jean-Pierre Françoise. Birkhoff normal forms and analytic geometry. Polish Acad. Sci., Warsaw. Symplectic singularities and geometry of gauge fields (Warsaw, 1995), pp.49-56, 1997, Banach Center Publ. ⟨hal-01408130⟩
  • Jean-Pierre Françoise. Bounds for the number of connected components of a family of differentiable manifolds. Real analytic and algebraic geometry (Trento, 1992), de Gruyter, Berlin. pp.131-135, 1995. ⟨hal-01408140⟩
  • Jean-Pierre Françoise, Felice Ronga. The decidability of real algebraic sets by the index formula. Real algebraic geometry (Rennes, 1991), Springer, pp.235-239, 1992, Lecture Notes in Math. ⟨hal-01408143⟩
  • Jean-Pierre Françoise. Systèmes integrables à m-corps sur la droite. Société Mathématique de France. Analyse globale et physique mathématique (Lyon, 1989), pp.111-122, 1991, Mém. Soc. Math. France (N.S.). ⟨hal-01408287⟩
  • Jean-Pierre Françoise, Robert Silhol. Real abelian varieties and the singularities of an integrable Hamiltonian system. Real analytic and algebraic geometry (Trento, 1988), 1420, Springer, pp.121-127, 1990, Lecture Notes in Math. ⟨hal-01408288⟩
  • Jean-Pierre Françoise. Intégrales de périodes en géométries symplectique et isochore. . Géométrie symplectique et mécanique (La Grande Motte, 1988), 1416, Springer, pp.105-138, 1990, Lecture Notes in Mathematics. ⟨hal-01408290⟩
  • Jean-Pierre Françoise. Relative cohomology and volume forms.. Polish Acad. Sci., Warsaw. Singularities (Warsaw, 1985), 20, pp.207-222, 1988, Banach Center Publications. ⟨hal-01408293⟩
  • Jean-Pierre Françoise. Monodromy and the Kowalevskaya top. . Singularités d'équations différentielles (Dijon, 1985), 150-151, Société Mathématique de France, pp.87-108, 1987, Astérisque. ⟨hal-01408296⟩
  • Jean-Pierre Françoise. Symplectic geometry and soliton theory. Topics in soliton theory and exactly solvable nonlinear equations (Oberwolfach, 1986), World Sci. Publishing, pp.300-306, 1987. ⟨hal-01408298⟩
  • Jean-Pierre Françoise. Explicit action-angle computations. Presses Univ. Montréal, Montreal, QC. Systèmes dynamiques non linéaires: intégrabilité et comportement qualitatif, 102, pp.101-120, 1986, Séminaire de mathématiques supérieures. ⟨hal-01408301⟩
  • Jean-Pierre Françoise. Estimations uniformes pour les domaines de convergence de la méthode de Newton. Séminaire sur la géométrie algébrique réelle, Tome I, II, 24, Université de Paris VII, pp.111-121, 1986, Publ. Math. Univ. Paris VII. ⟨hal-01408299⟩
  • Jean-Pierre Françoise. Hilbert's problem 16 (B). . Ordered fields and real algebraic geometry (Boulder, Colo., 1983), 14 (4), 1984, Rocky Mountain Journal of Mathematics. ⟨hal-01408305⟩
  • Jean-Pierre Françoise. Propriétés de généricité des transformations canoniques. Geometric dynamics (Rio de Janeiro, 1981), 1007, Springer, pp.216-260, 1983, Lecture Notes in Mathematics. ⟨hal-01408307⟩
  • Jean-Pierre Françoise. Modèle local simultané d'une fonction et d'une forme de volume. Société Mathématique de France. Journées Singulières de Dijon (Univ. Dijon, Dijon, 1978), 59-60, pp.119-130, 1978, Astérisque. ⟨hal-01408323⟩

Preprints, Working Papers, ...1 document

  • Lubomir Gavrilov, Jean-Pierre Françoise, Dongmei Xiao. Hilbert's 16th problem on a period annulus and Nash space of arcs. 2018. ⟨hal-01736528⟩

Lectures2 documents

  • Jean-Pierre Françoise. Nonlinear Dynamics and Models A course in Xi'an Jiaotong University. Doctoral. China. 2014. ⟨cel-01408104⟩
  • Jean-Pierre Françoise. Topologie et Calcul différentiel. Licence. France. 2007. ⟨cel-01408107⟩