Edit Profile (opens in new tab) Françoise, Jean-Pierre Compute Distance To: Compute Author ID: francoise.jean-pierre Published as: Françoise, Jean-Pierre; Françoise, J.-P.; Françoise, J. P.; Francoise, Jean-Pierre; Francoise, J. P.; Francoise, J.-P.; Françoise, Jean Pierre; Françoise, J-P more...less External Links: ResearchGate Documents Indexed: 119 Publications since 1978, including 2 Books 2 Contributions as Editor Co-Authors: 45 Co-Authors with 76 Joint Publications 1,177 Co-Co-Authors all top 5 Co-Authors 44 single-authored 14 Calogero, Francesco A. 10 Yomdin, Yosef 6 Briskin, Miriam 5 Caseiro, Raquel 4 Sanchez-Palencia, Évariste 4 Tarama, Daisuke 4 Xiao, Dongmei 3 Ji, Hongjun 3 Piquet, Claude 3 Pons, Roland 3 Sasaki, Ryu 3 Sommacal, Matteo 2 Gallavotti, Giovanni M. 2 Garrido, Pedro L. 2 Gavrilov, Lubomir 2 Irigoyen, Maylis 2 Llibre, Jaume 2 Ragnisco, Orlando 2 Vidal, Alexandre 2 Yang, Peixing 2 Yu, Jiang 1 Ambrosio, Benjamin 1 Buică, Adriana 1 Caubergh, Magdalena 1 Celletti, Alessandra 1 Clément, Frédérique 1 Desroches, Mathieu 1 Doss-Bachelet, Catherine 1 Doss-Bachlet, C. 1 Fronville, Alexandra 1 Guillemin, Victor W. 1 Guillot, Adolfo 1 He, Hongjin 1 Krupa, Martin 1 Naber, Gregory L. 1 Novikov, Roman G. 1 Pakovich, Fedor 1 Pugh, Charles Chapman 1 Ronga, Felice 1 Roussarie, Robert 1 Roytvarf, Nina 1 Silhol, Robert 1 Smaïli, Mohand 1 Tsun, Tsou Sheung 1 Zhao, Wenhua all top 5 Serials 7 Journal of Mathematical Physics 6 Comptes Rendus de l’Académie des Sciences. Série I 5 Journal of Differential Equations 5 Journal of Nonlinear Mathematical Physics 4 Qualitative Theory of Dynamical Systems 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Israel Journal of Mathematics 2 Nonlinearity 2 Theoretical and Mathematical Physics 2 Annales de l’Institut Fourier 2 Journal of Functional Analysis 2 Ergodic Theory and Dynamical Systems 2 Publicacions Matemàtiques 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Bulletin des Sciences Mathématiques 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 1 Communications in Mathematical Physics 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Anais da Academia Brasileira de Ciências 1 Applied Mathematics and Computation 1 Boletim da Sociedade Brasileira de Matemática 1 Duke Mathematical Journal 1 Mathematische Annalen 1 IMRN. International Mathematics Research Notices 1 Journal of Physics A: Mathematical and General 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Random & Computational Dynamics 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Computational and Applied Mathematics 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Lecture Notes in Mathematics 1 Mathématiques & Applications (Berlin) 1 RIMS Kôkyûroku Bessatsu 1 Mathematical Modelling of Natural Phenomena 1 Differential Equations and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Fields 63 Dynamical systems and ergodic theory (37-XX) 58 Ordinary differential equations (34-XX) 27 Mechanics of particles and systems (70-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Biology and other natural sciences (92-XX) 8 Partial differential equations (35-XX) 7 Algebraic geometry (14-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Functions of a complex variable (30-XX) 5 Quantum theory (81-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 708 times in 465 Documents Cited by ▼ Year ▼ Successive derivatives of a first return map, application to the study of quadratic vector fields. Zbl 0852.34008Francoise, J. P. 95 1996 Periodic solutions of nonlinear periodic differential systems with a small parameter. Zbl 1139.34036Buică, Adriana; Françoise, Jean-Pierre; Llibre, Jaume 58 2007 Center conditions, compositions of polynomials and moments on algebraic curves. Zbl 0990.34017Briskin, M.; Francoise, J.-P.; Yomdin, Y. 39 1999 Keeping track of limit cycles. Zbl 0602.34019Francoise, J. P.; Pugh, C. C. 35 1986 Center conditions. II: Parametric and model center problems. Zbl 0989.34021Briskin, M.; Francoise, J.-P.; Yomdin, Y. 34 2000 Center conditions. III: Parametric and model center problems. Zbl 0989.34022Briskin, M.; Francoise, J.-P.; Yomdin, Y. 33 2000 Bernstein inequalities and applications to analytic geometry and differential equations. Zbl 0869.34008Françoise, J.-P.; Yomdin, Y. 29 1997 The Bautin ideal of the Abel equation. Zbl 0905.34051Briskin, M.; Françoise, J.-P.; Yomdin, Y. 24 1998 The successive derivatives of the period function of a plane vector field. Zbl 0943.34021Françoise, J.-P. 22 1998 A completely integrable Hamiltonian system. Zbl 0864.58025Calogero, F.; Françoise, J.-P. 19 1996 Mathematical modeling of the gnrh pulse and surge generator. Zbl 1210.34053Clément, Frédérique; Françoise, Jean-Pierre 17 2007 Periodic solutions of a many-rotator problem in the plane. II: Analysis of various motions. Zbl 1114.70329Calogero, F.; Françoise, J.-P.; Sommacal, M. 14 2003 The first derivative of the period function of a plane vector field. Zbl 0892.34023Françoise, J.-P. 13 1997 Moment vanishing problem and positivity: some examples. Zbl 1217.44008Francoise, J. P.; Pakovich, F.; Yomdin, Y.; Zhao, W. 13 2011 On the period spectrum of a symplectic mapping. Zbl 0739.58020Francoise, J. P.; Guillemin, V. 10 1991 Generalized moments, center-focus conditions, and compositions of polynomials. Zbl 1075.34509Briskin, M.; Françoise, J.-P.; Yomdin, Y. 10 2001 Periodic motions galore: How to modify nonlinear evolution equations so that they feature a lot of periodic solutions. Zbl 0996.35003Calogero, F.; Françoise, J.-P. 10 2002 Analytical study of a triple Hopf bifurcation in a tritrophic food chain model. Zbl 1211.92057Françoise, Jean-Pierre; Llibre, Jaume 10 2011 Iterated integrals, Gelfand-Leray residue, and first return mapping. Zbl 1108.37043Françoise, J.-P.; Pelletier, M. 9 2006 Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations. Zbl 1131.34308Caubergh, Magdalena; Françoise, Jean-Pierre 9 2004 Canonical partition function of Hamiltonian systems and the stationary phase formula. Zbl 0665.58013Françoise, J. P. 8 1988 Periodic solutions of a many-rotator problem in the plane. Zbl 0985.70017Calogero, F.; Françoise, J.-P. 8 2001 Algebraic linearization of dynamics of Calogero type for any Coxeter group. Zbl 0985.37061Caseiro, R.; Françoise, J.-P.; Sasaki, R. 7 2000 Solution of certain integrable dynamical systems of Ruijsenaars-Schneider type with completely periodic trajectories. Zbl 0963.37048Calogero, F.; Françoise, J. P. 7 2000 Poincaré center-focus problem. (Une approche au problème du centre-foyer de Poincaré.) Zbl 0914.34025Briskin, Miriam; Françoise, Jean-Pierre; Yomdin, Yosi 7 1998 Perturbation theory of a symmetric center within Liénard equations. Zbl 1387.34088Françoise, Jean-Pierre; Xiao, Dongmei 7 2015 Analytic continuation and fixed points of the Poincaré mapping for a polynomial Abel equation. Zbl 1140.30015Francoise, J.-P.; Roytvarf, N.; Yomdin, Y. 7 2008 Hilbert’s 16th problem on a period annulus and Nash space of arcs. Zbl 1498.34092Françoise, Jean-Pierre; Gavrilov, Lubomir; Xiao, Dongmei 6 2020 Oscillations in biology. Qualitative analysis and models. (Oscillations en biologie. Analyse qualitative et modèles.) Zbl 1080.37103Françoise, Jean-Pierre 6 2005 An algorithmic approach to the center problem for homogeneous perturbations. (Une approche algorithmique du problème du centre pour des perturbations homogènes.) Zbl 0845.34039Françoise, Jean-Pierre; Pons, Roland 6 1996 Projection of analytic sets and Bernstein inequalities. Zbl 0915.30002Françoise, Jean-Pierre; Yomdin, Y. 5 1998 Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time. Zbl 0941.37040Calogero, F.; Françoise, J.-P. 5 1997 Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang 5 2019 Propagation of bursting oscillations. Zbl 1192.35009Ambrosio, Benjamin; Françoise, Jean-Pierre 5 2009 Integrability and limit cycles for Abel equations. Zbl 1248.34031Françoise, Jean-Pierre 5 2011 The number of limit cycles bifurcating from the period annulus of quasi-homogeneous Hamiltonian systems at any order. Zbl 1465.34042Françoise, Jean-Pierre; He, Hongjin; Xiao, Dongmei 4 2021 Symplectic geometry and integrable m-body problems on the line. Zbl 0656.70007Francoise, J. P. 4 1988 Isochronous systems and perturbation theory. Zbl 1362.70002Francoise, J.-P. 4 2005 Singularites de champs isochores. Zbl 0482.58012Francoise, Jean-Pierre 4 1980 Analytic properties of the return mapping of Liénard equations. Zbl 1032.34005Françoise, J. P. 4 2002 The Arnol’d formula for algebraically completely integrable systems. Zbl 0668.58020Françoise, J.-P. 4 1987 Quadratic algebra associated with rational Calogero-Moser models. Zbl 1018.81022Caseiro, R.; Françoise, J.-P.; Sasaki, R. 4 2001 Computer algebra methods and the stability of differential systems. Zbl 0859.65079Françoise, J. P.; Pons, R. 4 1995 A further solvable three-body problem in the plane. Zbl 1062.70015Calogero, F.; Françoise, J.-P.; Guillot, A. 4 2003 Quadratic double centers and their perturbations. Zbl 1462.34050Françoise, Jean-Pierre; Yang, Peixing 3 2021 Solutions rationnelles des équations de type Korteweg-de Vries en dimension \(2+1\) et problèmes à \(m\) corps sur la droite. (Rational solutions of KdV type equations in dimension \(2+1\) and \(m\)-body problems on the line). Zbl 0752.35060Françoise, Jean-Pierre; Novikov, Roman G. 3 1992 Calculs explicites d’action-angles. (Explicit calculus of action angles). Zbl 0642.58027Françoise, J. P. 3 1986 New solvable many-body problems in the plane. Zbl 1109.70010Calogero, F.; Françoise, J.-P. 3 2006 The center conditions for quadratic vector fields. (Les conditions du centre pour un champ de vecteurs quadratique.) Zbl 0812.58049Françoise, Jean-Pierre; Pons, Roland 3 1994 Computer algebra and bifurcation theory of vector fields of the plane. Zbl 0901.68088Françoise, J.-P.; Fronville, A. 3 1996 Pendulum, elliptic functions, and relative cohomology classes. Zbl 1309.70017Françoise, J.-P.; Garrido, P. L.; Gallavotti, G. 3 2010 Isochronous motions galore: Nonlinearly coupled oscillators with lots of isochronous solutions. Zbl 1089.34027Calogero, F.; Françoise, J.-P. 3 2004 Relative cohomology and volume forms. Zbl 0676.58014Françoise, J.-P. 3 1988 Matrix second-order differential equations and Hamiltonian systems of quartic type. Zbl 0695.58012Françoise, J. P.; Ragnisco, O. 3 1989 Nonlinear evolution ODEs featuring many periodic solutions. Zbl 1178.34044Calogero, F.; Françoise, J.-P. 3 2003 Enhanced delay to bifurcation. Zbl 1195.34082Françoise, Jean-Pierre; Piquet, Claude; Vidal, Alexandre 3 2008 Integrable \(m\)- body systems on the line. (Systèmes intégrables à \(m\)-corps sur la droite.) Zbl 0774.58016Françoise, J.-P. 2 1991 Non-integrable Hamiltonian systems and the Heun equation. Zbl 0779.58016Françoise, J.-P.; Irigoyen, M. 2 1993 An iterative process on quartics and integrable symplectic maps. Zbl 0930.35096Francoise, J. P.; Ragnisco, O. 2 1999 Second order Melnikov functions of piecewise Hamiltonian systems. Zbl 1436.37071Yang, Peixing; Françoise, Jean-Pierre; Yu, Jiang 2 2020 Rigid motions: action-angles, relative cohomology and polynomials with roots on the unit circle. Zbl 1282.70006Françoise, J.-P.; Garrido, P. L.; Gallavotti, G. 2 2013 Le théorème de M. Sebastiani pour une singularité quasi homogène isolée. Zbl 0394.58004Françoise, Jean-Pierre 2 1979 Parametric centers for trigonometric Abel equations. Zbl 1163.34017Françoise, Jean-Pierre 2 2008 Canard cycles in global dynamics. Zbl 1270.34162Vidal, Alexandre; Françoise, Jean-Pierre 2 2012 Bifurcations of planar vector fields. Proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989. Zbl 0707.00011 1 1990 Monodromy and the Kowalevskaya top. Zbl 0653.58011Francoise, J. P. 1 1987 Sur les formes normales de champs de vecteurs. Zbl 0522.58044Francoise, J. P. 1 1980 Algebraic linearization of hyperbolic Ruijsenaars-Schneider systems. Zbl 1012.37039Caseiro, R.; Françoise, J. P. 1 2001 Constrained evolution processes and emergence of organized diversity. Zbl 1369.92081Sanchez-Palencia, E.; Françoise, J.-P. 1 2016 Encyclopedia of mathematical physics. Vols. 1–5. Zbl 1170.00001 1 2006 Transverse Morse lemma for powers of volume forms. (Lemme de Morse transverse pour des puissances de formes de volume.) Zbl 0812.58002Françoise, Jean-Pierre; Smaïli, Mohand 1 1994 Poincaré-Andronov-Hopf bifurcation and the local Hilbert’s 16th problem. Zbl 1273.34044Françoise, Jean-Pierre 1 2012 A novel solvable many-body problem with elliptic interactions. Zbl 0974.37045Calogero, F.; Françoise, J.-P. 1 2000 Topological remarks and new examples of persistence of diversity in biological dynamics. Zbl 1421.92026Sanchez-Palencia, Evariste; Françoise, Jean-Pierre 1 2019 Analytic extension of the Birkhoff normal forms for the free rigid body dynamics on \(SO(3)\). Zbl 1337.37040Françoise, Jean-Pierre; Tarama, Daisuke 1 2015 Analytic extension of Birkhoff normal forms for Hamiltonian systems of one degree of freedom – simple pendulum and free rigid body dynamics. Zbl 1337.37041Tarama, Daisuke; Françoise, Jean-Pierre 1 2014 Matrix-second order differential equations and chaotic Hamiltonian systems. Zbl 0688.58028Celletti, A.; Francoise, J. P. 1 1989 Real abelian varieties and the singularities of an integral Hamiltonian system. Zbl 0697.58024Françoise, J.-P.; Silhol, R. 1 1990 Systèmes hamiltoniens non intégrables et instabilité des solutions d’équations de Hill. (Non integrable Hamiltonian systems and instability of solutions of Hill’s equations). Zbl 0704.34061Françoise, Jean-Pierre; Irigoyen, Maylis 1 1990 Perturbation theory of overintegrable differential systems. Zbl 0962.37033Françoise, J. P. 1 1999 Algebraically linearizable dynamical systems. Zbl 1057.35069Caseiro, R.; Françoise, J. P. 1 2002 Extension of Bautin theory to any dimension. Zbl 1081.37029Françoise, Jean-Pierre 1 2001 Birkhoff normal forms and analytic geometry. Zbl 0887.58048Françoise, Jean Pierre 1 1997 From Abel equations to Jacobian conjecture. Zbl 1318.34048Françoise, Jean-Pierre 1 2014 Réduction simultanée d’un croisement normal et d’un volume. Zbl 0581.58009Françoise, J. P. 1 1982 Solvable nonlinear evolution PDEs in multidimensional space involving trigonometric functions. Zbl 1115.37063Calogero, F.; Françoise, J-P; Sommacal, M. 1 2007 On the bifurcation of periodic orbits. Zbl 1130.34317Françoise, J. P. 1 2001 The number of limit cycles bifurcating from the period annulus of quasi-homogeneous Hamiltonian systems at any order. Zbl 1465.34042Françoise, Jean-Pierre; He, Hongjin; Xiao, Dongmei 4 2021 Quadratic double centers and their perturbations. Zbl 1462.34050Françoise, Jean-Pierre; Yang, Peixing 3 2021 Hilbert’s 16th problem on a period annulus and Nash space of arcs. Zbl 1498.34092Françoise, Jean-Pierre; Gavrilov, Lubomir; Xiao, Dongmei 6 2020 Second order Melnikov functions of piecewise Hamiltonian systems. Zbl 1436.37071Yang, Peixing; Françoise, Jean-Pierre; Yu, Jiang 2 2020 Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang 5 2019 Topological remarks and new examples of persistence of diversity in biological dynamics. Zbl 1421.92026Sanchez-Palencia, Evariste; Françoise, Jean-Pierre 1 2019 Constrained evolution processes and emergence of organized diversity. Zbl 1369.92081Sanchez-Palencia, E.; Françoise, J.-P. 1 2016 Perturbation theory of a symmetric center within Liénard equations. Zbl 1387.34088Françoise, Jean-Pierre; Xiao, Dongmei 7 2015 Analytic extension of the Birkhoff normal forms for the free rigid body dynamics on \(SO(3)\). Zbl 1337.37040Françoise, Jean-Pierre; Tarama, Daisuke 1 2015 Analytic extension of Birkhoff normal forms for Hamiltonian systems of one degree of freedom – simple pendulum and free rigid body dynamics. Zbl 1337.37041Tarama, Daisuke; Françoise, Jean-Pierre 1 2014 From Abel equations to Jacobian conjecture. Zbl 1318.34048Françoise, Jean-Pierre 1 2014 Rigid motions: action-angles, relative cohomology and polynomials with roots on the unit circle. Zbl 1282.70006Françoise, J.-P.; Garrido, P. L.; Gallavotti, G. 2 2013 Canard cycles in global dynamics. Zbl 1270.34162Vidal, Alexandre; Françoise, Jean-Pierre 2 2012 Poincaré-Andronov-Hopf bifurcation and the local Hilbert’s 16th problem. Zbl 1273.34044Françoise, Jean-Pierre 1 2012 Moment vanishing problem and positivity: some examples. Zbl 1217.44008Francoise, J. P.; Pakovich, F.; Yomdin, Y.; Zhao, W. 13 2011 Analytical study of a triple Hopf bifurcation in a tritrophic food chain model. Zbl 1211.92057Françoise, Jean-Pierre; Llibre, Jaume 10 2011 Integrability and limit cycles for Abel equations. Zbl 1248.34031Françoise, Jean-Pierre 5 2011 Pendulum, elliptic functions, and relative cohomology classes. Zbl 1309.70017Françoise, J.-P.; Garrido, P. L.; Gallavotti, G. 3 2010 Propagation of bursting oscillations. Zbl 1192.35009Ambrosio, Benjamin; Françoise, Jean-Pierre 5 2009 Analytic continuation and fixed points of the Poincaré mapping for a polynomial Abel equation. Zbl 1140.30015Francoise, J.-P.; Roytvarf, N.; Yomdin, Y. 7 2008 Enhanced delay to bifurcation. Zbl 1195.34082Françoise, Jean-Pierre; Piquet, Claude; Vidal, Alexandre 3 2008 Parametric centers for trigonometric Abel equations. Zbl 1163.34017Françoise, Jean-Pierre 2 2008 Periodic solutions of nonlinear periodic differential systems with a small parameter. Zbl 1139.34036Buică, Adriana; Françoise, Jean-Pierre; Llibre, Jaume 58 2007 Mathematical modeling of the gnrh pulse and surge generator. Zbl 1210.34053Clément, Frédérique; Françoise, Jean-Pierre 17 2007 Solvable nonlinear evolution PDEs in multidimensional space involving trigonometric functions. Zbl 1115.37063Calogero, F.; Françoise, J-P; Sommacal, M. 1 2007 Iterated integrals, Gelfand-Leray residue, and first return mapping. Zbl 1108.37043Françoise, J.-P.; Pelletier, M. 9 2006 New solvable many-body problems in the plane. Zbl 1109.70010Calogero, F.; Françoise, J.-P. 3 2006 Encyclopedia of mathematical physics. Vols. 1–5. Zbl 1170.00001 1 2006 Oscillations in biology. Qualitative analysis and models. (Oscillations en biologie. Analyse qualitative et modèles.) Zbl 1080.37103Françoise, Jean-Pierre 6 2005 Isochronous systems and perturbation theory. Zbl 1362.70002Francoise, J.-P. 4 2005 Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations. Zbl 1131.34308Caubergh, Magdalena; Françoise, Jean-Pierre 9 2004 Isochronous motions galore: Nonlinearly coupled oscillators with lots of isochronous solutions. Zbl 1089.34027Calogero, F.; Françoise, J.-P. 3 2004 Periodic solutions of a many-rotator problem in the plane. II: Analysis of various motions. Zbl 1114.70329Calogero, F.; Françoise, J.-P.; Sommacal, M. 14 2003 A further solvable three-body problem in the plane. Zbl 1062.70015Calogero, F.; Françoise, J.-P.; Guillot, A. 4 2003 Nonlinear evolution ODEs featuring many periodic solutions. Zbl 1178.34044Calogero, F.; Françoise, J.-P. 3 2003 Periodic motions galore: How to modify nonlinear evolution equations so that they feature a lot of periodic solutions. Zbl 0996.35003Calogero, F.; Françoise, J.-P. 10 2002 Analytic properties of the return mapping of Liénard equations. Zbl 1032.34005Françoise, J. P. 4 2002 Algebraically linearizable dynamical systems. Zbl 1057.35069Caseiro, R.; Françoise, J. P. 1 2002 Generalized moments, center-focus conditions, and compositions of polynomials. Zbl 1075.34509Briskin, M.; Françoise, J.-P.; Yomdin, Y. 10 2001 Periodic solutions of a many-rotator problem in the plane. Zbl 0985.70017Calogero, F.; Françoise, J.-P. 8 2001 Quadratic algebra associated with rational Calogero-Moser models. Zbl 1018.81022Caseiro, R.; Françoise, J.-P.; Sasaki, R. 4 2001 Algebraic linearization of hyperbolic Ruijsenaars-Schneider systems. Zbl 1012.37039Caseiro, R.; Françoise, J. P. 1 2001 Extension of Bautin theory to any dimension. Zbl 1081.37029Françoise, Jean-Pierre 1 2001 On the bifurcation of periodic orbits. Zbl 1130.34317Françoise, J. P. 1 2001 Center conditions. II: Parametric and model center problems. Zbl 0989.34021Briskin, M.; Francoise, J.-P.; Yomdin, Y. 34 2000 Center conditions. III: Parametric and model center problems. Zbl 0989.34022Briskin, M.; Francoise, J.-P.; Yomdin, Y. 33 2000 Algebraic linearization of dynamics of Calogero type for any Coxeter group. Zbl 0985.37061Caseiro, R.; Françoise, J.-P.; Sasaki, R. 7 2000 Solution of certain integrable dynamical systems of Ruijsenaars-Schneider type with completely periodic trajectories. Zbl 0963.37048Calogero, F.; Françoise, J. P. 7 2000 A novel solvable many-body problem with elliptic interactions. Zbl 0974.37045Calogero, F.; Françoise, J.-P. 1 2000 Center conditions, compositions of polynomials and moments on algebraic curves. Zbl 0990.34017Briskin, M.; Francoise, J.-P.; Yomdin, Y. 39 1999 An iterative process on quartics and integrable symplectic maps. Zbl 0930.35096Francoise, J. P.; Ragnisco, O. 2 1999 Perturbation theory of overintegrable differential systems. Zbl 0962.37033Françoise, J. P. 1 1999 The Bautin ideal of the Abel equation. Zbl 0905.34051Briskin, M.; Françoise, J.-P.; Yomdin, Y. 24 1998 The successive derivatives of the period function of a plane vector field. Zbl 0943.34021Françoise, J.-P. 22 1998 Poincaré center-focus problem. (Une approche au problème du centre-foyer de Poincaré.) Zbl 0914.34025Briskin, Miriam; Françoise, Jean-Pierre; Yomdin, Yosi 7 1998 Projection of analytic sets and Bernstein inequalities. Zbl 0915.30002Françoise, Jean-Pierre; Yomdin, Y. 5 1998 Bernstein inequalities and applications to analytic geometry and differential equations. Zbl 0869.34008Françoise, J.-P.; Yomdin, Y. 29 1997 The first derivative of the period function of a plane vector field. Zbl 0892.34023Françoise, J.-P. 13 1997 Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time. Zbl 0941.37040Calogero, F.; Françoise, J.-P. 5 1997 Birkhoff normal forms and analytic geometry. Zbl 0887.58048Françoise, Jean Pierre 1 1997 Successive derivatives of a first return map, application to the study of quadratic vector fields. Zbl 0852.34008Francoise, J. P. 95 1996 A completely integrable Hamiltonian system. Zbl 0864.58025Calogero, F.; Françoise, J.-P. 19 1996 An algorithmic approach to the center problem for homogeneous perturbations. (Une approche algorithmique du problème du centre pour des perturbations homogènes.) Zbl 0845.34039Françoise, Jean-Pierre; Pons, Roland 6 1996 Computer algebra and bifurcation theory of vector fields of the plane. Zbl 0901.68088Françoise, J.-P.; Fronville, A. 3 1996 Computer algebra methods and the stability of differential systems. Zbl 0859.65079Françoise, J. P.; Pons, R. 4 1995 The center conditions for quadratic vector fields. (Les conditions du centre pour un champ de vecteurs quadratique.) Zbl 0812.58049Françoise, Jean-Pierre; Pons, Roland 3 1994 Transverse Morse lemma for powers of volume forms. (Lemme de Morse transverse pour des puissances de formes de volume.) Zbl 0812.58002Françoise, Jean-Pierre; Smaïli, Mohand 1 1994 Non-integrable Hamiltonian systems and the Heun equation. Zbl 0779.58016Françoise, J.-P.; Irigoyen, M. 2 1993 Solutions rationnelles des équations de type Korteweg-de Vries en dimension \(2+1\) et problèmes à \(m\) corps sur la droite. (Rational solutions of KdV type equations in dimension \(2+1\) and \(m\)-body problems on the line). Zbl 0752.35060Françoise, Jean-Pierre; Novikov, Roman G. 3 1992 On the period spectrum of a symplectic mapping. Zbl 0739.58020Francoise, J. P.; Guillemin, V. 10 1991 Integrable \(m\)- body systems on the line. (Systèmes intégrables à \(m\)-corps sur la droite.) Zbl 0774.58016Françoise, J.-P. 2 1991 Bifurcations of planar vector fields. Proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989. Zbl 0707.00011 1 1990 Real abelian varieties and the singularities of an integral Hamiltonian system. Zbl 0697.58024Françoise, J.-P.; Silhol, R. 1 1990 Systèmes hamiltoniens non intégrables et instabilité des solutions d’équations de Hill. (Non integrable Hamiltonian systems and instability of solutions of Hill’s equations). Zbl 0704.34061Françoise, Jean-Pierre; Irigoyen, Maylis 1 1990 Matrix second-order differential equations and Hamiltonian systems of quartic type. Zbl 0695.58012Françoise, J. P.; Ragnisco, O. 3 1989 Matrix-second order differential equations and chaotic Hamiltonian systems. Zbl 0688.58028Celletti, A.; Francoise, J. P. 1 1989 Canonical partition function of Hamiltonian systems and the stationary phase formula. Zbl 0665.58013Françoise, J. P. 8 1988 Symplectic geometry and integrable m-body problems on the line. Zbl 0656.70007Francoise, J. P. 4 1988 Relative cohomology and volume forms. Zbl 0676.58014Françoise, J.-P. 3 1988 The Arnol’d formula for algebraically completely integrable systems. Zbl 0668.58020Françoise, J.-P. 4 1987 Monodromy and the Kowalevskaya top. Zbl 0653.58011Francoise, J. P. 1 1987 Keeping track of limit cycles. Zbl 0602.34019Francoise, J. P.; Pugh, C. C. 35 1986 Calculs explicites d’action-angles. (Explicit calculus of action angles). Zbl 0642.58027Françoise, J. P. 3 1986 Réduction simultanée d’un croisement normal et d’un volume. Zbl 0581.58009Françoise, J. P. 1 1982 Singularites de champs isochores. Zbl 0482.58012Francoise, Jean-Pierre 4 1980 Sur les formes normales de champs de vecteurs. Zbl 0522.58044Francoise, J. P. 1 1980 Le théorème de M. Sebastiani pour une singularité quasi homogène isolée. Zbl 0394.58004Françoise, Jean-Pierre 2 1979 all cited Publications top 5 cited Publications all top 5 Cited by 468 Authors 47 Llibre, Jaume 38 Françoise, Jean-Pierre 24 Calogero, Francesco A. 19 Gasull, Armengol 19 Giné, Jaume 18 Yomdin, Yosef 12 Gavrilov, Lubomir 12 Zhao, Yulin 11 Valls Anglés, Cláudia 10 Pakovich, Fedor 9 Brudnyi, Alexander 9 Han, Maoan 9 Torregrosa, Joan 7 Liu, Changjian 7 Mardešić, Pavao 7 Romanovskiĭ, Valeriĭ Georgievich 7 Zhao, Wenhua 6 Bravo, José Luis 6 Briskin, Miriam 6 Grau, Maite 6 Iliev, Iliya Dimov 6 Mañosas, Francesc 6 Yu, Jiang 6 Zhang, Xiang 6 Zhao, Liqin 5 Buică, Adriana 5 Cima, Anna 5 Desroches, Mathieu 5 Huang, Jianfeng 5 Liang, Haihua 5 Makhlouf, Amar 5 Popov, Georgi St. 5 Teixeira, Marco Antonio 5 Villadelprat, Jordi 4 Alvarez, María Jesus 4 Ambrosio, Benjamin 4 Aziz-Alaoui, Moulay-Ahmed 4 Caseiro, Raquel 4 Castellanos, Víctor 4 Clément, Frédérique 4 Kourliouros, Konstantinos 4 Leyvraz, Francois 4 Li, Chengzhi 4 Oliveira, Regilene D. S. 4 Prohens, Rafel 4 Rebollo-Perdomo, Salomón 4 Santallusia, Xavier 4 van den Essen, Arno 4 Xiao, Dongmei 4 Yang, Jiazhong 4 Yang, Peixing 3 Asheghi, Rasoul 3 Blé, Gamaliel 3 Caubergh, Magdalena 3 Christopher, Colin J. 3 Constantin, Adrian 3 de Moraes, Jaime R. 3 Ersöz, Elif Köksal 3 Ferčec, Brigita 3 Fernández-García, Soledad 3 García Guirao, Juan Luis 3 Gómez-Ullate, David 3 Guillot, Adolfo 3 Jebrane, Ahmed 3 Krupa, Martin 3 Lopes, Bruno Domeniciano 3 Mourtada, Abderaouf 3 Novaes, Douglas Duarte 3 Novikov, Dmitry 3 Peng, Linping 3 Perko, Lawrence M. 3 Pontigo-Herrera, Jessie 3 Rodrigues, Camila Ap. B. 3 Roussarie, Robert 3 Roytvarf, Nina 3 Sasaki, Ryu 3 Szmigielski, Jacek 3 Vera, Juan A. 3 Vidal, Alexandre 3 Wang, Jiaxin 3 Xiong, Yanqin 3 Yu, Pei 2 Alber, Mark S. 2 Algaba, Antonio 2 Álvarez, Amelia 2 Beals, Richard W. 2 Ben Hamed, Bassem 2 Bonaccorsi, Stefano 2 Bonnard, Bernard 2 Boulfoul, Amel 2 Cao, Cewen 2 Cen, Xiuli 2 Chen, Guoting 2 Chen, Xingwu 2 Costin, Rodica D. 2 Cresson, Jacky 2 De Bustos, M. Teresa 2 De Maesschalck, Peter 2 Dela-Rosa, Miguel Angel 2 Denkowska, Zofia Bogumila ...and 368 more Authors all top 5 Cited in 127 Serials 49 Journal of Differential Equations 34 Bulletin des Sciences Mathématiques 29 Qualitative Theory of Dynamical Systems 27 Journal of Mathematical Physics 21 Journal of Mathematical Analysis and Applications 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Physica D 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Nonlinear Mathematical Physics 8 Journal of Geometry and Physics 7 Israel Journal of Mathematics 7 Applied Mathematics and Computation 6 Communications in Mathematical Physics 6 Chaos, Solitons and Fractals 6 Ergodic Theory and Dynamical Systems 5 Annales de l’Institut Fourier 5 SIAM Journal on Applied Dynamical Systems 4 Advances in Mathematics 4 Journal of Computational and Applied Mathematics 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Journal of Dynamics and Differential Equations 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Nonlinear Dynamics 4 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Pure and Applied Algebra 3 Acta Applicandae Mathematicae 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Bulletin of the American Mathematical Society. New Series 3 Annales de l’Institut Henri Poincaré. 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Zeitschrift für angewandte Mathematik und Physik 2 Reviews in Mathematical Physics 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Functional Analysis and its Applications 2 Journal of Algebra 2 Mathematische Annalen 2 Mathematics and Computers in Simulation 2 Mathematische Zeitschrift 2 Applied Mathematics Letters 2 Geometric and Functional Analysis. GAFA 2 Celestial Mechanics and Dynamical Astronomy 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications in Contemporary Mathematics 2 Nonlinear Analysis. Real World Applications 2 Dynamical Systems 2 Communications on Pure and Applied Analysis 2 Central European Journal of Mathematics 2 Journal of Applied Analysis and Computation 1 Archive for Rational Mechanics and Analysis 1 Astrophysics and Space Science 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Physica A 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Automatica 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Kodai Mathematical Journal 1 Monatshefte für Mathematik 1 Stochastic Analysis and Applications 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Expositiones Mathematicae 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics ...and 27 more Serials all top 5 Cited in 44 Fields 306 Ordinary differential equations (34-XX) 198 Dynamical systems and ergodic theory (37-XX) 55 Mechanics of particles and systems (70-XX) 37 Partial differential equations (35-XX) 27 Algebraic geometry (14-XX) 26 Biology and other natural sciences (92-XX) 21 Several complex variables and analytic spaces (32-XX) 19 Quantum theory (81-XX) 16 Functions of a complex variable (30-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Differential geometry (53-XX) 7 Commutative algebra (13-XX) 7 Fluid mechanics (76-XX) 6 Associative rings and algebras (16-XX) 6 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 4 Measure and integration (28-XX) 4 Integral equations (45-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year