Nombre de documents

116

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).

Article dans une revue86 documents

E. Sanchez-Palencia, Jean-Pierre Francoise. 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〉
Hermine Biermé, Jean-Pierre Francoise, Rémy Guillevin, Alain Miranville. Preface. Acta Biotheoretica, Springer Verlag, 2016, 64 (4), pp.309 - 310. 〈hal-01407205〉
Evariste Sanchez-Palencia, Philippe Lherminier, Jean-Pierre Francoise. 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〉
Jean-Pierre Francoise, 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 Francoise, 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〉
Mathieu Desroches, Jean-Pierre Francoise, Lucile Mégret. Canard-induced loss of stability across a homoclinic bifurcation. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2015, 20, pp.47-62. 〈hal-01093445v2〉
Jean-Pierre Francoise. From Abel equations to Jacobian conjecture. Publicacions Matemàtiques., 2014, volume EXTRA, pp. 209-219. 〈hal-01407994〉
Jean-Pierre Francoise, 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〉
Raquel Caseiro, Jean-Pierre Francoise, 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〉
Marion Lahutte-Auboin, Rémy Guillevin, Jean-Pierre Francoise, 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〉
E. Sanchez-Palencia, Jean-Pierre Francoise. 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 Francoise. 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 Francoise, 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. 〈hal-01406297〉
L. El Alaoui, Jean-Pierre Francoise, 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〉
R. Costalat, Jean-Pierre Francoise, 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-01413864〉
Alexandre Vidal, Jean-Pierre Francoise. Canard cycles in global dynamics. International Journal of Bifurcation and Chaos, World Scientific Publishing, 2012, 22 (2), 13 p. 〈10.1142/S0218127412500265〉. 〈hal-00440868〉
Jean-Pierre Francoise. 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〉
Jean-Pierre Francoise, 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 Francoise, 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〉
Rémy Guillevin, Carole Menuel, Jean-Noël Vallée, Jean-Pierre Francoise, 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 Masson, 2011, 334 (1), pp.31 - 38. 〈hal-01406299〉
Jean-Pierre Francoise, 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 Francoise. 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〉
B. Ambrosio, Jean-Pierre Francoise. 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. 〈hal-01406302〉
Jacques Demongeot, Jean-Pierre Francoise, 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〉
S. Randall Thomas, Pierre Baconnier, Julie Fontecave, Jean-Pierre Francoise, 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〉
Jean-Pierre Francoise. 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 Francoise, 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 Francoise, 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, Enas Abdulhay, Pierre Baconnier, Julie Fontecave, Jean-Pierre Francoise, 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〉
Adriana Buica, Jean-Pierre Francoise, 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〉
Frédérique Clement, Jean-Pierre Francoise. 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〉
Jean-Pierre Francoise, 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 Francoise, 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〉
Jean-Pierre Francoise, M. Pelletier. Iterated integrals, Gelfand-Leray residue, and first return mapping. Journal of Dynamical and Control Systems, Springer Verlag, 2006, 12, pp.357-369. 〈hal-00112199〉
Jacques Demongeot, Jean-Pierre Francoise. Approximation for limit cycles and their isochrons. Comptes Rendus Biologies, Elsevier Masson, 2006, 329 (12), pp.967 - 970. 〈hal-01407202〉
Jean-Pierre Francoise. Isochronous systems and perturbation theory. Journal of Nonlinear Mathematical Physics, Taylor & Francis, 2005, 1, pp.315-326. 〈hal-00020202〉
Jean-Pierre Francoise, 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 Francoise. 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 Francoise. 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 Francoise. 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 Francoise, 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〉
Jacques Demongeot, Jean-Pierre Francoise, Mathieu Richard, Franck Senegas, Thierry-Pascal Baum. A differential geometry approach for biomedical image processing.. Comptes Rendus Biologies, Elsevier Masson, 2002, pp.367-74. 〈hal-01407194〉
Jean-Pierre Francoise. 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〉
F Calogero, Jean-Pierre Francoise. 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 Francoise. 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〉
R. Caseiro, Jean-Pierre Francoise, 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 Francoise. 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 Francoise. 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〉
R. Caseiro, Jean-Pierre Francoise, 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 Francoise. 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 Francoise. A novel solvable many-body problem with elliptic interactions . International Mathematics Research Notices, Oxford University Press (OUP), 2000, 〈10.1155/S1073792800000428 〉. 〈hal-01408116〉
C. Doss-Bachelet, Jean-Pierre Francoise. 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〉
Myriam Briskin, Jean-Pierre Francoise, Yosi Yomdin. Center conditions, compositions of polynomials and moments on algebraic curves. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 1999. 〈hal-01408118〉
M Briskin, Jean-Pierre Francoise, 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〉
Jean-Pierre Francoise. 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 Francoise, Y. Yomdin. Center conditions II: Parametric and model center problems. Israël Journal of Mathematics, The Hebrew University Magnes Press, 1998, 118 (1), pp.61 - 82. 〈10.1007/BF02803516〉. 〈hal-01401543〉
M. Briskin, Jean-Pierre Francoise, Y. Yomdin. Center conditions III: Parametric and model center problems. Israël Journal of Mathematics, The Hebrew University Magnes Press, 1998, 118 (1), pp.83 - 108. 〈10.1007/BF02803517〉. 〈hal-01401541〉
Miriam Briskin, Jean-Pierre Francoise, 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〉
Jean-Pierre Francoise, 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 Francoise. Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time. Journal of Physics A: Mathematical and General , IOP Publishing, 1997, 30 (1), pp.211 - 218. 〈10.1088/0305-4470/30/1/015〉. 〈hal-01403490〉
Jean-Pierre Francoise. 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〉
F. Calogero, Jean-Pierre Francoise. 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 Francoise, 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 Francoise, Francesco Calogero. Integrable dynamical systems obtained by duplication.. Annales de l'Institut Henri Poincare Physique Theorique, 1992, 57 (2), pp.167-181. 〈hal-01415470〉
Jean-Pierre Francoise, 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 Francoise, 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 Francoise, 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 Francoise. 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 Francoise, Orlando Ragnisco. Matrix second-order differential equations and Hamiltonian systems of quartic type.. Annales de l'Institut Henri Poincare Physique Theorique, 1989, pp.369-375. 〈hal-01408292〉
Jean-Pierre Francoise. 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 Francoise. 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 Francoise. 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 Francoise, 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 Francoise. 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 Francoise. 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 Francoise. 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 Francoise. 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 Francoise. 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 Francoise. 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 Francoise. Domaines de linéarisation asymptotique pour des champs de vecteurs. Mathematische Annalen, Springer Verlag, 1981, 255 (4), pp.431-442. 〈hal-01408312〉
Jean-Pierre Francoise. 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 Francoise. 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 Francoise. Singularités de champs à plans invariants. C. R. Acad. Sci. Paris Sér. A-B, 1980, 290 (6), pp.A275-A277. 〈hal-01408317〉
Jean-Pierre Francoise. Sur les formes normales de champs de vecteurs. Bollettino dell'Unione Matematica Italiana, 1980, 5 (17), pp.60-66. 〈hal-01408315〉
Jean-Pierre Francoise. 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 Francoise. Points périodiques de transformations canoniques. C. R. Acad. Sci. Paris Sér. A-B, 1978, 286 (24), pp.A1215-A1217. 〈hal-01408321〉

Communication dans un congrès1 document

Jean-Pierre Francoise. Systèmes Dynamiques appliqués aux Oscillations. AFM, Maison de la Mécanique, 39/41 rue Louis Blanc, 92400 Courbevoie, France(FR). 21ème Congrès Français de Mécanique, 2013, Bordeaux, France. 〈http://hdl.handle.net/2042/52813〉. 〈hal-01413884〉

Ouvrage (y compris édition critique et traduction)5 documents

Catherine Doss-Bachelet, Jean-Pierre Francoise, Claude Piquet. Géométrie différentielle Avec 80 figures. ellipses. 2011, Mathématiques 2e cycle, 9782729864460. 〈hal-01405818〉
Jean-Pierre Francoise, Gregory Naber, Sheung Tsun Tsou. Encyclopedia of Mathematical Physics. Academic Press an Inprint of Elsevier 2006, 978-0-12-512666-3. 〈hal-01405827〉
Jean-Pierre Francoise. 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 Francoise. Géométrie analytique et Systèmes Dynamiques. Presses universitaires de France. 1995. 〈hal-01407988〉
Jean-Pierre Francoise, 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〉

Chapitre d'ouvrage21 documents

Jean-Pierre Francoise, 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 Francoise, 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 Francoise. The theory of limit cycles. Amer. Math. Soc., Providence, RI,. The scientific legacy of Poincaré, 36, 2010, Hist. Math. 〈hal-01408089〉
Jean-Pierre Francoise. 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 Francoise, 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 Francoise, 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 Francoise, 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 Francoise. 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 Francoise. 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 Francoise, 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 Francoise. 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 Francoise. 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 Francoise, 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 Francoise. Relative cohomology and volume forms.. Polish Acad. Sci., Warsaw. Singularities (Warsaw, 1985), 20, pp.207-222, 1988, Banach Center Publications. 〈hal-01408293〉
Jean-Pierre Francoise. 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 Francoise. 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 Francoise. 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 Francoise. 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 Francoise. 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 Francoise. 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 Francoise. 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〉

Pré-publication, Document de travail1 document

Lubomir Gavrilov, Jean-Pierre Francoise, Dongmei Xiao. Hilbert's 16th problem on a period annulus and Nash space of arcs. 2018. 〈hal-01736528〉

Cours2 documents

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