Theory of oscillators, Engl. transl. N. J, 1937. ,
Sur les équations différentielles algébriques du premier ordre et du premier degré, Bull. Sci. Math., Sr, vol.2, issue.2, pp.60-96, 1878. ,
A Model of Two Nonlinear Coupled Oscillators for the Study of Heartbeat Dynamics, International Journal of Bifurcation and Chaos, vol.08, issue.10, pp.1975-1985, 1998. ,
DOI : 10.1142/S0218127498001637
Sur les courbes à double courbure, Thèse Toulouse, 1847, Résumé dans J. de Math, vol.17, p.1847 ,
DIFFERENTIAL GEOMETRY AND MECHANICS: APPLICATIONS TO CHAOTIC DYNAMICAL SYSTEMS, International Journal of Bifurcation and Chaos, vol.16, issue.04, pp.887-910, 2006. ,
DOI : 10.1142/S0218127406015192
URL : https://hal.archives-ouvertes.fr/hal-01054308
SLOW INVARIANT MANIFOLDS AS CURVATURE OF THE FLOW OF DYNAMICAL SYSTEMS, International Journal of Bifurcation and Chaos, vol.18, issue.11, pp.3409-3430, 2008. ,
DOI : 10.1142/S0218127408022457
URL : https://hal.archives-ouvertes.fr/hal-01054314
Differential Geometry Applied to Dynamical Systems, World Scientific Series on Nonlinear Science, Series A World Scientific, vol.66, 2009. ,
DOI : 10.1142/7333
URL : https://hal.archives-ouvertes.fr/hal-01101601
Higher Curvatures of Curves in Euclidean Space, The American Mathematical Monthly, vol.73, issue.7, pp.699-704, 1966. ,
DOI : 10.2307/2313974
The Forced van der Pol Equation I: The Slow Flow and Its Bifurcations, SIAM J. App. Dyn. Sys. 2, pp.1-35, 2002. ,
DOI : 10.1137/S1111111102404738
Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias, Journal of Mathematical Biology, vol.69, issue.1, pp.1-23, 1982. ,
DOI : 10.1007/BF02154750
Perturbations of discontinuous solutions of non-linear systems of differential equations, Acta Mathematica, vol.82, issue.0, pp.71-106, 1950. ,
DOI : 10.1007/BF02398275
-dimensional polynomial vector fields, Journal of Physics A: Mathematical and Theoretical, vol.40, issue.29, pp.8385-8391, 2007. ,
DOI : 10.1088/1751-8113/40/29/013
URL : https://hal.archives-ouvertes.fr/hal-00958859
Introduction to Singular Perturbations, 1974. ,
Singular Perturbation Methods for Ordinary Differential Equations, 1991. ,
Sur les courbes définies par une équation différentielle, J. de Math. Pures et Appl, pp.375-422 ,
Sur les courbes définies par une équation différentielle, J. de Math Pures Appl, pp.251-296 ,
Sur les courbes définies par une équation différentielle, J. de Math. Pures et Appl, pp.167-244 ,
Sur les courbes définies par une équation différentielle, J. de Math. Pures et Appl, pp.151-217, 1886. ,
Elementary first integrals of differential equations and invariant algebraic curves, pp.433-454, 1993. ,
Algebraic and geometric aspects of the theory of planar polynomial vector fields, in Bifurcations and Periodic Orbits of Vector Fields, NATO Advanced Study Institutes Series, Series C: Mathematical and Physical Sciences, pp.429-467, 1993. ,
Simulation of Heartbeat Dynamics: A Nonlinear Model, International Journal of Bifurcation and Chaos, vol.08, issue.08, pp.1725-1731, 1998. ,
DOI : 10.1142/S0218127498001418
On the dependence of solutions of differential equations on a small parameter, Mat. Sb. N.S, vol.22, issue.2, pp.193-204, 1948. ,
On 'Relaxation-Oscillations, pp.978-992, 1926. ,
Asymptotic Expansions for Ordinary Differential Equations, 1965. ,
Nonlinear dynamics of the heartbeat. The AV junction: Passive conduit or active oscillator?, Physica D, vol.7, pp.198-206, 1985. ,