Christiane Rousseau

Champs d'intérêt et thèmes d'enseignement

Publications

Articles avec comité de lecture

• ROUSSEAU C. & ZHU H., Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type, À paraître dans : J. Differential Equations.
• ROUSSEAU C., DUMORTIER F. & ILYASHENKO Y., Normal forms near a saddle-node and applications to finite cyclicity of graphics, À paraître dans : Ergodic theory and dynamical systems.
• ROUSSEAUC C., DUMORTIER F. & GUZMÁN A., Finite cyclicity of elementary graphics surrounding a focus or center in quadratic systems, À paraître dans: : Qualitative theory of dynamical systems.
• ROUSSEAU C. & GUIMOND L.-S., Finite cyclicity of finite codimension nondegenerate homoclinic loops with real eigenvalues in R3, Qualitative theory of dynamical systems, Sous presse.
• CHRISTOPHER C. and ROUSSEAU C., Non degenerate linearisable centres of complex panar quadratic and symmetric cubic systems in C2, Publications Matemàtiques,45, pp. 95-123, 2001.
• GUZMAN A. and ROUSSEAU C., Genericity conditions for finite cyclicity of elementary graphics, Journal of Differential Equations, 55, pp. 44--72, 1999.
• KHIBNIK A., KRAUSKOPH B. & ROUSSEAU C., Global study of a family of cubic Lineard equations, Nonlinearity. 11, pp. 1505-1519, 1998.
• ROUSSEAU C., SWIRSZCZ G. & ZOLADEK H., Cyclicity of graphics with semi-hyperbolic points inside quadratic systems, Journal of Dynamical Systems and Control, 4, pp. 149-189, 1998.
• KRAUSKOPH B. & ROUSSEAU C., Codimension-three unfoldings of reflectionally symmetric vector fields, Nonlinearity, 10, pp. 1115-1150, 1997.
• ROUSSEAU C. & TONI B., Local bifurcations of critical periods in the reduced Kukles system, Canadian Math., 49, pp. 338-358, 1997.
• MARRDESIC P., MOSER-JAUSLIN L. ROUSSEAU C., Darboux linearization and isochronous centers with a rational first integral, J. Differential Equations, 134, pp. 216-268, 1997.
• GUIMOND L.-S. & ROUSSEAU C., A stratum of cubic vector fields with two symmetry axes passing through an integrable saddle, Nonlinearity, 9, pp. 761-785, 1996.
• DUMORTIER F., EL MORSALANI M. ROUSSEAU C., Hilbert's 16th problem for quadratic systems and cyclicity of elementary graphics, Nonlinearity, 9, pp. 1209-1261, 1996.
• ROUSSARIE R & ROUSSEAU C., Almost planar homoclinic loops in R3, J. Differential Equations, 125, pp. 1-47, 1996.
• ROUSSEAU C., SCHLOMIUK D. & THIBAUDEAU P., The centers in the reduced Kukles system, Nonlinearity, 8, pp. 541-569, 1995.
• ROUSSEAU C. & SCHLOMIUK D., Cubic vector fields symmetric with respect to a center, J. Differential Equations, 123, pp. 388-436, 1995.
• MARDESIC P., ROUSSEAU C. & TONI B., Linearization of isochronous systems, Differential Equations, 121, pp. 67-108, 1995.
• DUMORTIER F., ROUSSARIE R. & ROUSSEAU C., Elementary graphics of cyclicity 1 and 2, Nonlinearity, 7, pp. 1001-1043, 1994.
• DUMORTIER F., ROUSSARIE R. & ROUSSEAU C., Hilbert's 16th problem for quadratic vector fields, Differential Equations, 110, pp. 86-133, 1994.
• ROUSSEAU C. & TONI B., Local bifurcation of critical periods in vector fields with homogeneous nonlinearities of the third degree, Bull. Can. de Mathématiques, 34, pp. 473-484, 1993.¸
• ROUSSEAU C. & BLOWS T., Bifurcations at infinity in polynomial vector fields, J. Differential Equations, 104, pp. 215-242, 1993.
• ROUSSEAU C. & ZOLADEK H., Zeros for complete elliptic integrals for 1:2 resonance, J. Differential Equations, 94, pp. 41-54, 1991.

Actes avec comité de lecture

• ROUSSEAU C., Hilbert's 16-th problem for quadratic vector fields and cyclicity of graphics, Proceedings of the Second World Congress on Nonlinear Analysts, (Athenes, 1996), 30(1), pp. 437-445, Nonlinear Analysis Theory, Methods and Applications, 1997.
• ROUSSEAU C., Universal unfording of a singularity of a symmetric vector field with 7-jet C^\infty - equivalent to y \partial / \partial x + (± x^3 ±x^6 y) \partial /\partialy, Proceedings de la Conférence de Luminy "Bifurcations et orbites périodiques de champs de vecteurs", 1455, pp. 334-355, Springer Lecture Notes in Math., 1992.

Chapitre de livres

• ROUSSEAU Christiane, Bifurcation methods in polynomial systems, Comptes rendus du Séminaire de Mathématiques Supérieures "Bifurcations et orbites périodiques de champs de vecteurs", 1992, Université de Montréal, 50 pages, Kluwer editor, 1993.