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Françoise, Jean-Pierre

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Author ID: francoise.jean-pierre Recent zbMATH articles by "Françoise, 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
External Links: ResearchGate
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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 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

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 670 times in 443 Documents Cited by Year
Successive derivatives of a first return map, application to the study of quadratic vector fields. Zbl 0852.34008
Francoise, J. P.
92
1996
Periodic solutions of nonlinear periodic differential systems with a small parameter. Zbl 1139.34036
Buică, Adriana; Françoise, Jean-Pierre; Llibre, Jaume
53
2007
Center conditions, compositions of polynomials and moments on algebraic curves. Zbl 0990.34017
Briskin, M.; Francoise, J.-P.; Yomdin, Y.
38
1999
Keeping track of limit cycles. Zbl 0602.34019
Francoise, J. P.; Pugh, C. C.
35
1986
Center conditions. II: Parametric and model center problems. Zbl 0989.34021
Briskin, M.; Francoise, J.-P.; Yomdin, Y.
33
2000
Center conditions. III: Parametric and model center problems. Zbl 0989.34022
Briskin, M.; Francoise, J.-P.; Yomdin, Y.
31
2000
Bernstein inequalities and applications to analytic geometry and differential equations. Zbl 0869.34008
Françoise, J.-P.; Yomdin, Y.
27
1997
The Bautin ideal of the Abel equation. Zbl 0905.34051
Briskin, M.; Françoise, J.-P.; Yomdin, Y.
24
1998
The successive derivatives of the period function of a plane vector field. Zbl 0943.34021
Françoise, J.-P.
22
1998
Mathematical modeling of the gnrh pulse and surge generator. Zbl 1210.34053
Clément, Frédérique; Françoise, Jean-Pierre
17
2007
A completely integrable Hamiltonian system. Zbl 0864.58025
Calogero, F.; Françoise, J.-P.
15
1996
Periodic solutions of a many-rotator problem in the plane. II: Analysis of various motions. Zbl 1114.70329
Calogero, F.; Françoise, J.-P.; Sommacal, M.
14
2003
The first derivative of the period function of a plane vector field. Zbl 0892.34023
Françoise, J.-P.
13
1997
Moment vanishing problem and positivity: some examples. Zbl 1217.44008
Francoise, J. P.; Pakovich, F.; Yomdin, Y.; Zhao, W.
12
2011
On the period spectrum of a symplectic mapping. Zbl 0739.58020
Francoise, J. P.; Guillemin, V.
10
1991
Generalized moments, center-focus conditions, and compositions of polynomials. Zbl 1075.34509
Briskin, M.; Françoise, J.-P.; Yomdin, Y.
10
2001
Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations. Zbl 1131.34308
Caubergh, Magdalena; Françoise, Jean-Pierre
9
2004
Periodic motions galore: How to modify nonlinear evolution equations so that they feature a lot of periodic solutions. Zbl 0996.35003
Calogero, F.; Françoise, J.-P.
9
2002
Iterated integrals, Gelfand-Leray residue, and first return mapping. Zbl 1108.37043
Françoise, J.-P.; Pelletier, M.
8
2006
Canonical partition function of Hamiltonian systems and the stationary phase formula. Zbl 0665.58013
Françoise, J. P.
8
1988
Periodic solutions of a many-rotator problem in the plane. Zbl 0985.70017
Calogero, F.; Françoise, J.-P.
8
2001
Analytical study of a triple Hopf bifurcation in a tritrophic food chain model. Zbl 1211.92057
Françoise, Jean-Pierre; Llibre, Jaume
8
2011
Perturbation theory of a symmetric center within Liénard equations. Zbl 1387.34088
Françoise, Jean-Pierre; Xiao, Dongmei
7
2015
Poincaré center-focus problem. (Une approche au problème du centre-foyer de Poincaré.) Zbl 0914.34025
Briskin, Miriam; Françoise, Jean-Pierre; Yomdin, Yosi
7
1998
Solution of certain integrable dynamical systems of Ruijsenaars-Schneider type with completely periodic trajectories. Zbl 0963.37048
Calogero, F.; Françoise, J. P.
7
2000
Algebraic linearization of dynamics of Calogero type for any Coxeter group. Zbl 0985.37061
Caseiro, R.; Françoise, J.-P.; Sasaki, R.
7
2000
Analytic continuation and fixed points of the Poincaré mapping for a polynomial Abel equation. Zbl 1140.30015
Francoise, J.-P.; Roytvarf, N.; Yomdin, Y.
7
2008
An algorithmic approach to the center problem for homogeneous perturbations. (Une approche algorithmique du problème du centre pour des perturbations homogènes.) Zbl 0845.34039
Françoise, Jean-Pierre; Pons, Roland
6
1996
Oscillations in biology. Qualitative analysis and models. (Oscillations en biologie. Analyse qualitative et modèles.) Zbl 1080.37103
Françoise, Jean-Pierre
6
2005
Projection of analytic sets and Bernstein inequalities. Zbl 0915.30002
Françoise, Jean-Pierre; Yomdin, Y.
5
1998
Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time. Zbl 0941.37040
Calogero, F.; Françoise, J.-P.
5
1997
Isochronous systems and perturbation theory. Zbl 1362.70002
Francoise, J.-P.
4
2005
Propagation of bursting oscillations. Zbl 1192.35009
Ambrosio, Benjamin; Françoise, Jean-Pierre
4
2009
Computer algebra methods and the stability of differential systems. Zbl 0859.65079
Françoise, J. P.; Pons, R.
4
1995
A further solvable three-body problem in the plane. Zbl 1062.70015
Calogero, F.; Françoise, J.-P.; Guillot, A.
4
2003
Symplectic geometry and integrable m-body problems on the line. Zbl 0656.70007
Francoise, J. P.
4
1988
The Arnol’d formula for algebraically completely integrable systems. Zbl 0668.58020
Françoise, J.-P.
4
1987
Analytic properties of the return mapping of Liénard equations. Zbl 1032.34005
Françoise, J. P.
4
2002
Singularites de champs isochores. Zbl 0482.58012
Francoise, Jean-Pierre
4
1980
Hilbert’s 16th problem on a period annulus and Nash space of arcs. Zbl 07395411
Françoise, Jean-Pierre; Gavrilov, Lubomir; Xiao, Dongmei
4
2020
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 0752.35060
Françoise, Jean-Pierre; Novikov, Roman G.
3
1992
Integrability and limit cycles for Abel equations. Zbl 1248.34031
Françoise, Jean-Pierre
3
2011
Calculs explicites d’action-angles. (Explicit calculus of action angles). Zbl 0642.58027
Françoise, J. P.
3
1986
New solvable many-body problems in the plane. Zbl 1109.70010
Calogero, F.; Françoise, J.-P.
3
2006
Quadratic algebra associated with rational Calogero-Moser models. Zbl 1018.81022
Caseiro, R.; Françoise, J.-P.; Sasaki, R.
3
2001
Computer algebra and bifurcation theory of vector fields of the plane. Zbl 0901.68088
Françoise, J.-P.; Fronville, A.
3
1996
Nonlinear evolution ODEs featuring many periodic solutions. Zbl 1178.34044
Calogero, F.; Françoise, J.-P.
3
2003
The center conditions for quadratic vector fields. (Les conditions du centre pour un champ de vecteurs quadratique.) Zbl 0812.58049
Françoise, Jean-Pierre; Pons, Roland
3
1994
Relative cohomology and volume forms. Zbl 0676.58014
Françoise, J.-P.
3
1988
Matrix second-order differential equations and Hamiltonian systems of quartic type. Zbl 0695.58012
Françoise, J. P.; Ragnisco, O.
3
1989
Enhanced delay to bifurcation. Zbl 1195.34082
Françoise, Jean-Pierre; Piquet, Claude; Vidal, Alexandre
3
2008
Isochronous motions galore: Nonlinearly coupled oscillators with lots of isochronous solutions. Zbl 1089.34027
Calogero, F.; Françoise, J.-P.
3
2004
Pendulum, elliptic functions, and relative cohomology classes. Zbl 1309.70017
Françoise, J.-P.; Garrido, P. L.; Gallavotti, G.
3
2010
Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038
Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang
3
2019
Integrable \(m\)- body systems on the line. (Systèmes intégrables à \(m\)-corps sur la droite.) Zbl 0774.58016
Françoise, J.-P.
2
1991
Non-integrable Hamiltonian systems and the Heun equation. Zbl 0779.58016
Françoise, J.-P.; Irigoyen, M.
2
1993
An iterative process on quartics and integrable symplectic maps. Zbl 0930.35096
Francoise, J. P.; Ragnisco, O.
2
1999
Parametric centers for trigonometric Abel equations. Zbl 1163.34017
Françoise, Jean-Pierre
2
2008
The number of limit cycles bifurcating from the period annulus of quasi-homogeneous Hamiltonian systems at any order. Zbl 1465.34042
Françoise, Jean-Pierre; He, Hongjin; Xiao, Dongmei
2
2021
Le théorème de M. Sebastiani pour une singularité quasi homogène isolée. Zbl 0394.58004
Françoise, Jean-Pierre
2
1979
Rigid motions: action-angles, relative cohomology and polynomials with roots on the unit circle. Zbl 1282.70006
Françoise, J.-P.; Garrido, P. L.; Gallavotti, G.
2
2013
Canard cycles in global dynamics. Zbl 1270.34162
Vidal, Alexandre; Françoise, Jean-Pierre
2
2012
Second order Melnikov functions of piecewise Hamiltonian systems. Zbl 1436.37071
Yang, Peixing; Françoise, Jean-Pierre; Yu, Jiang
2
2020
Sur les formes normales de champs de vecteurs. Zbl 0522.58044
Francoise, J. P.
1
1980
Analytic extension of Birkhoff normal forms for Hamiltonian systems of one degree of freedom – simple pendulum and free rigid body dynamics. Zbl 1337.37041
Tarama, Daisuke; Françoise, Jean-Pierre
1
2014
Bifurcations of planar vector fields. Proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989. Zbl 0707.00011
1
1990
Analytic extension of the Birkhoff normal forms for the free rigid body dynamics on \(SO(3)\). Zbl 1337.37040
Françoise, Jean-Pierre; Tarama, Daisuke
1
2015
Solvable nonlinear evolution PDEs in multidimensional space involving trigonometric functions. Zbl 1115.37063
Calogero, F.; Françoise, J-P; Sommacal, M.
1
2007
On the bifurcation of periodic orbits. Zbl 1130.34317
Françoise, J. P.
1
2001
Perturbation theory of overintegrable differential systems. Zbl 0962.37033
Françoise, J. P.
1
1999
Réduction simultanée d’un croisement normal et d’un volume. Zbl 0581.58009
Françoise, J. P.
1
1982
Transverse Morse lemma for powers of volume forms. (Lemme de Morse transverse pour des puissances de formes de volume.) Zbl 0812.58002
Françoise, Jean-Pierre; Smaïli, Mohand
1
1994
Monodromy and the Kowalevskaya top. Zbl 0653.58011
Francoise, J. P.
1
1987
Matrix-second order differential equations and chaotic Hamiltonian systems. Zbl 0688.58028
Celletti, A.; Francoise, J. P.
1
1989
Real abelian varieties and the singularities of an integral Hamiltonian system. Zbl 0697.58024
Françoise, 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 0704.34061
Françoise, Jean-Pierre; Irigoyen, Maylis
1
1990
A novel solvable many-body problem with elliptic interactions. Zbl 0974.37045
Calogero, F.; Françoise, J.-P.
1
2000
Algebraically linearizable dynamical systems. Zbl 1057.35069
Caseiro, R.; Françoise, J. P.
1
2002
Algebraic linearization of hyperbolic Ruijsenaars-Schneider systems. Zbl 1012.37039
Caseiro, R.; Françoise, J. P.
1
2001
Extension of Bautin theory to any dimension. Zbl 1081.37029
Françoise, Jean-Pierre
1
2001
Birkhoff normal forms and analytic geometry. Zbl 0887.58048
Françoise, Jean Pierre
1
1997
Poincaré-Andronov-Hopf bifurcation and the local Hilbert’s 16th problem. Zbl 1273.34044
Françoise, Jean-Pierre
1
2012
Encyclopedia of mathematical physics. Vols. 1–5. Zbl 1170.00001
1
2006
Quadratic double centers and their perturbations. Zbl 1462.34050
Françoise, Jean-Pierre; Yang, Peixing
1
2021
The number of limit cycles bifurcating from the period annulus of quasi-homogeneous Hamiltonian systems at any order. Zbl 1465.34042
Françoise, Jean-Pierre; He, Hongjin; Xiao, Dongmei
2
2021
Quadratic double centers and their perturbations. Zbl 1462.34050
Françoise, Jean-Pierre; Yang, Peixing
1
2021
Hilbert’s 16th problem on a period annulus and Nash space of arcs. Zbl 07395411
Françoise, Jean-Pierre; Gavrilov, Lubomir; Xiao, Dongmei
4
2020
Second order Melnikov functions of piecewise Hamiltonian systems. Zbl 1436.37071
Yang, Peixing; Françoise, Jean-Pierre; Yu, Jiang
2
2020
Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038
Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang
3
2019
Perturbation theory of a symmetric center within Liénard equations. Zbl 1387.34088
Françoise, Jean-Pierre; Xiao, Dongmei
7
2015
Analytic extension of the Birkhoff normal forms for the free rigid body dynamics on \(SO(3)\). Zbl 1337.37040
Françoise, 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 1337.37041
Tarama, Daisuke; Françoise, Jean-Pierre
1
2014
Rigid motions: action-angles, relative cohomology and polynomials with roots on the unit circle. Zbl 1282.70006
Françoise, J.-P.; Garrido, P. L.; Gallavotti, G.
2
2013
Canard cycles in global dynamics. Zbl 1270.34162
Vidal, Alexandre; Françoise, Jean-Pierre
2
2012
Poincaré-Andronov-Hopf bifurcation and the local Hilbert’s 16th problem. Zbl 1273.34044
Françoise, Jean-Pierre
1
2012
Moment vanishing problem and positivity: some examples. Zbl 1217.44008
Francoise, J. P.; Pakovich, F.; Yomdin, Y.; Zhao, W.
12
2011
Analytical study of a triple Hopf bifurcation in a tritrophic food chain model. Zbl 1211.92057
Françoise, Jean-Pierre; Llibre, Jaume
8
2011
Integrability and limit cycles for Abel equations. Zbl 1248.34031
Françoise, Jean-Pierre
3
2011
Pendulum, elliptic functions, and relative cohomology classes. Zbl 1309.70017
Françoise, J.-P.; Garrido, P. L.; Gallavotti, G.
3
2010
Propagation of bursting oscillations. Zbl 1192.35009
Ambrosio, Benjamin; Françoise, Jean-Pierre
4
2009
Analytic continuation and fixed points of the Poincaré mapping for a polynomial Abel equation. Zbl 1140.30015
Francoise, J.-P.; Roytvarf, N.; Yomdin, Y.
7
2008
Enhanced delay to bifurcation. Zbl 1195.34082
Françoise, Jean-Pierre; Piquet, Claude; Vidal, Alexandre
3
2008
Parametric centers for trigonometric Abel equations. Zbl 1163.34017
Françoise, Jean-Pierre
2
2008
Periodic solutions of nonlinear periodic differential systems with a small parameter. Zbl 1139.34036
Buică, Adriana; Françoise, Jean-Pierre; Llibre, Jaume
53
2007
Mathematical modeling of the gnrh pulse and surge generator. Zbl 1210.34053
Clément, Frédérique; Françoise, Jean-Pierre
17
2007
Solvable nonlinear evolution PDEs in multidimensional space involving trigonometric functions. Zbl 1115.37063
Calogero, F.; Françoise, J-P; Sommacal, M.
1
2007
Iterated integrals, Gelfand-Leray residue, and first return mapping. Zbl 1108.37043
Françoise, J.-P.; Pelletier, M.
8
2006
New solvable many-body problems in the plane. Zbl 1109.70010
Calogero, 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 1080.37103
Françoise, Jean-Pierre
6
2005
Isochronous systems and perturbation theory. Zbl 1362.70002
Francoise, J.-P.
4
2005
Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations. Zbl 1131.34308
Caubergh, Magdalena; Françoise, Jean-Pierre
9
2004
Isochronous motions galore: Nonlinearly coupled oscillators with lots of isochronous solutions. Zbl 1089.34027
Calogero, F.; Françoise, J.-P.
3
2004
Periodic solutions of a many-rotator problem in the plane. II: Analysis of various motions. Zbl 1114.70329
Calogero, F.; Françoise, J.-P.; Sommacal, M.
14
2003
A further solvable three-body problem in the plane. Zbl 1062.70015
Calogero, F.; Françoise, J.-P.; Guillot, A.
4
2003
Nonlinear evolution ODEs featuring many periodic solutions. Zbl 1178.34044
Calogero, 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 0996.35003
Calogero, F.; Françoise, J.-P.
9
2002
Analytic properties of the return mapping of Liénard equations. Zbl 1032.34005
Françoise, J. P.
4
2002
Algebraically linearizable dynamical systems. Zbl 1057.35069
Caseiro, R.; Françoise, J. P.
1
2002
Generalized moments, center-focus conditions, and compositions of polynomials. Zbl 1075.34509
Briskin, M.; Françoise, J.-P.; Yomdin, Y.
10
2001
Periodic solutions of a many-rotator problem in the plane. Zbl 0985.70017
Calogero, F.; Françoise, J.-P.
8
2001
Quadratic algebra associated with rational Calogero-Moser models. Zbl 1018.81022
Caseiro, R.; Françoise, J.-P.; Sasaki, R.
3
2001
On the bifurcation of periodic orbits. Zbl 1130.34317
Françoise, J. P.
1
2001
Algebraic linearization of hyperbolic Ruijsenaars-Schneider systems. Zbl 1012.37039
Caseiro, R.; Françoise, J. P.
1
2001
Extension of Bautin theory to any dimension. Zbl 1081.37029
Françoise, Jean-Pierre
1
2001
Center conditions. II: Parametric and model center problems. Zbl 0989.34021
Briskin, M.; Francoise, J.-P.; Yomdin, Y.
33
2000
Center conditions. III: Parametric and model center problems. Zbl 0989.34022
Briskin, M.; Francoise, J.-P.; Yomdin, Y.
31
2000
Solution of certain integrable dynamical systems of Ruijsenaars-Schneider type with completely periodic trajectories. Zbl 0963.37048
Calogero, F.; Françoise, J. P.
7
2000
Algebraic linearization of dynamics of Calogero type for any Coxeter group. Zbl 0985.37061
Caseiro, R.; Françoise, J.-P.; Sasaki, R.
7
2000
A novel solvable many-body problem with elliptic interactions. Zbl 0974.37045
Calogero, F.; Françoise, J.-P.
1
2000
Center conditions, compositions of polynomials and moments on algebraic curves. Zbl 0990.34017
Briskin, M.; Francoise, J.-P.; Yomdin, Y.
38
1999
An iterative process on quartics and integrable symplectic maps. Zbl 0930.35096
Francoise, J. P.; Ragnisco, O.
2
1999
Perturbation theory of overintegrable differential systems. Zbl 0962.37033
Françoise, J. P.
1
1999
The Bautin ideal of the Abel equation. Zbl 0905.34051
Briskin, M.; Françoise, J.-P.; Yomdin, Y.
24
1998
The successive derivatives of the period function of a plane vector field. Zbl 0943.34021
Françoise, J.-P.
22
1998
Poincaré center-focus problem. (Une approche au problème du centre-foyer de Poincaré.) Zbl 0914.34025
Briskin, Miriam; Françoise, Jean-Pierre; Yomdin, Yosi
7
1998
Projection of analytic sets and Bernstein inequalities. Zbl 0915.30002
Françoise, Jean-Pierre; Yomdin, Y.
5
1998
Bernstein inequalities and applications to analytic geometry and differential equations. Zbl 0869.34008
Françoise, J.-P.; Yomdin, Y.
27
1997
The first derivative of the period function of a plane vector field. Zbl 0892.34023
Françoise, J.-P.
13
1997
Hamiltonian character of the motion of the zeros of a polynomial whose coefficients oscillate over time. Zbl 0941.37040
Calogero, F.; Françoise, J.-P.
5
1997
Birkhoff normal forms and analytic geometry. Zbl 0887.58048
Françoise, Jean Pierre
1
1997
Successive derivatives of a first return map, application to the study of quadratic vector fields. Zbl 0852.34008
Francoise, J. P.
92
1996
A completely integrable Hamiltonian system. Zbl 0864.58025
Calogero, F.; Françoise, J.-P.
15
1996
An algorithmic approach to the center problem for homogeneous perturbations. (Une approche algorithmique du problème du centre pour des perturbations homogènes.) Zbl 0845.34039
Françoise, Jean-Pierre; Pons, Roland
6
1996
Computer algebra and bifurcation theory of vector fields of the plane. Zbl 0901.68088
Françoise, J.-P.; Fronville, A.
3
1996
Computer algebra methods and the stability of differential systems. Zbl 0859.65079
Françoise, J. P.; Pons, R.
4
1995
The center conditions for quadratic vector fields. (Les conditions du centre pour un champ de vecteurs quadratique.) Zbl 0812.58049
Françoise, 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 0812.58002
Françoise, Jean-Pierre; Smaïli, Mohand
1
1994
Non-integrable Hamiltonian systems and the Heun equation. Zbl 0779.58016
Françoise, 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 0752.35060
Françoise, Jean-Pierre; Novikov, Roman G.
3
1992
On the period spectrum of a symplectic mapping. Zbl 0739.58020
Francoise, J. P.; Guillemin, V.
10
1991
Integrable \(m\)- body systems on the line. (Systèmes intégrables à \(m\)-corps sur la droite.) Zbl 0774.58016
Françoise, 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 0697.58024
Françoise, 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 0704.34061
Françoise, Jean-Pierre; Irigoyen, Maylis
1
1990
Matrix second-order differential equations and Hamiltonian systems of quartic type. Zbl 0695.58012
Françoise, J. P.; Ragnisco, O.
3
1989
Matrix-second order differential equations and chaotic Hamiltonian systems. Zbl 0688.58028
Celletti, A.; Francoise, J. P.
1
1989
Canonical partition function of Hamiltonian systems and the stationary phase formula. Zbl 0665.58013
Françoise, J. P.
8
1988
Symplectic geometry and integrable m-body problems on the line. Zbl 0656.70007
Francoise, J. P.
4
1988
Relative cohomology and volume forms. Zbl 0676.58014
Françoise, J.-P.
3
1988
The Arnol’d formula for algebraically completely integrable systems. Zbl 0668.58020
Françoise, J.-P.
4
1987
Monodromy and the Kowalevskaya top. Zbl 0653.58011
Francoise, J. P.
1
1987
Keeping track of limit cycles. Zbl 0602.34019
Francoise, J. P.; Pugh, C. C.
35
1986
Calculs explicites d’action-angles. (Explicit calculus of action angles). Zbl 0642.58027
Françoise, J. P.
3
1986
Réduction simultanée d’un croisement normal et d’un volume. Zbl 0581.58009
Françoise, J. P.
1
1982
Singularites de champs isochores. Zbl 0482.58012
Francoise, Jean-Pierre
4
1980
Sur les formes normales de champs de vecteurs. Zbl 0522.58044
Francoise, J. P.
1
1980
Le théorème de M. Sebastiani pour une singularité quasi homogène isolée. Zbl 0394.58004
Françoise, Jean-Pierre
2
1979
all top 5

Cited by 444 Authors

46 Llibre, Jaume
36 Françoise, Jean-Pierre
24 Calogero, Francesco A.
19 Gasull, Armengol
18 Giné, Jaume
18 Yomdin, Yosef
12 Zhao, Yulin
11 Gavrilov, Lubomir
10 Pakovich, Fedor
9 Brudnyi, Alexander
9 Torregrosa, Joan
9 Valls Anglés, Cláudia
8 Han, Maoan
7 Mardešić, Pavao
7 Romanovski, Valery G.
6 Briskin, Miriam
6 Iliev, Iliya Dimov
6 Mañosas, Francesc
6 Yu, Jiang
6 Zhang, Xiang
6 Zhao, Wenhua
5 Bravo, José Luis
5 Buică, Adriana
5 Cima, Anna
5 Desroches, Mathieu
5 Grau, Maite
5 Huang, Jianfeng
5 Liang, Haihua
5 Liu, Changjian
5 Makhlouf, Amar
5 Popov, Georgi St.
5 Teixeira, Marco Antonio
5 Villadelprat, Jordi
4 Alvarez, María Jesus
4 Ambrosio, Benjamin
4 Caseiro, Raquel
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 Xiao, Dongmei
4 Yang, Peixing
4 Zhao, Liqin
3 Aziz-Alaoui, Moulay-Ahmed
3 Castellanos, Víctor
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 Perko, Lawrence M.
3 Pontigo-Herrera, Jessie
3 Rodrigues, Camila Ap. B.
3 Roussarie, Robert
3 Roytvarf, Nina
3 Sasaki, Ryu
3 van den Essen, Arno
3 Vera, Juan A.
3 Vidal, Alexandre
3 Xiong, Yanqin
3 Yang, Jiazhong
3 Yu, Pei
2 Alber, Mark S.
2 Algaba, Antonio
2 Álvarez, Amelia
2 Asheghi, Rasoul
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 Denkowska, Zofia Bogumila
2 Du, Dianlou
2 El Morsalani, Mohamed
2 Escher, Joachim
2 Fairon, Maxime
2 Feng, Zhaosheng
...and 344 more Authors
all top 5

Cited in 123 Serials

48 Journal of Differential Equations
34 Bulletin des Sciences Mathématiques
27 Journal of Mathematical Physics
27 Qualitative Theory of Dynamical Systems
19 Journal of Mathematical Analysis and Applications
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Physica D
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Journal of Nonlinear Mathematical Physics
7 Israel Journal of Mathematics
7 Journal of Geometry and Physics
7 Applied Mathematics and Computation
6 Communications in Mathematical Physics
6 Ergodic Theory and Dynamical Systems
5 Chaos, Solitons and Fractals
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
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. Physique Théorique
3 Indagationes Mathematicae. New Series
3 Differential Equations and Dynamical Systems
3 Chaos
3 Journal of the European Mathematical Society (JEMS)
3 Journal of Dynamical and Control Systems
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Applicable Analysis
2 Computers & Mathematics with Applications
2 International Journal of Theoretical Physics
2 Mathematical Methods in the Applied Sciences
2 Nonlinearity
2 Physics Letters. A
2 Rocky Mountain Journal of Mathematics
2 Theoretical and Mathematical Physics
2 ZAMP. 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 Journal of Pure and Applied Algebra
2 Mathematische Annalen
2 Mathematics and Computers in Simulation
2 Mathematische Zeitschrift
2 Acta Applicandae Mathematicae
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 Nonlinear Analysis. Real World Applications
2 Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series B
2 Communications on Pure and Applied Analysis
2 Central European Journal of Mathematics
2 Mediterranean Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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 Letters in Mathematical Physics
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
1 NoDEA. Nonlinear Differential Equations and Applications
...and 23 more Serials
all top 5

Cited in 44 Fields

288 Ordinary differential equations (34-XX)
187 Dynamical systems and ergodic theory (37-XX)
55 Mechanics of particles and systems (70-XX)
36 Partial differential equations (35-XX)
26 Algebraic geometry (14-XX)
21 Several complex variables and analytic spaces (32-XX)
21 Biology and other natural sciences (92-XX)
18 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 Numerical analysis (65-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 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