Bifurcations of Planar Vector Fields
Proceedings of a Meeting held in Luminy, France, Sept. 18-22, 1989
Herausgegeben: Francoise, Jean-Pierre; Roussarie, Robert
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Retard ¿a bifurcation : du local au global.- On bifurcation of limit cycles from centers.- On the saddle loop bifurcation.- Finitude des cycles-limites et accelero-sommation de l¿application de retour.- Limit cycles and zeroes of Abelian integrals satisfying third order picard ¿ Fuchs equations.- On the basin of attraction of dissipative planar vector fields.- Periodic lines of curvature bifurcating from Darbouxian umbilical connections.- Conditions for a centre and the bifurcation of limit cycles in a class of cubic systems.- On first integrals of linear systems, Frobenius integrability th...
Retard ¿a bifurcation : du local au global.- On bifurcation of limit cycles from centers.- On the saddle loop bifurcation.- Finitude des cycles-limites et accelero-sommation de l¿application de retour.- Limit cycles and zeroes of Abelian integrals satisfying third order picard ¿ Fuchs equations.- On the basin of attraction of dissipative planar vector fields.- Periodic lines of curvature bifurcating from Darbouxian umbilical connections.- Conditions for a centre and the bifurcation of limit cycles in a class of cubic systems.- On first integrals of linear systems, Frobenius integrability theorem and linear representations of Lie algebras.- Cyclicite finie des polycycles hyperboliques de champs de vecteurs du plan mise sous forme normale.- Bifurcation of limit cycles.- Universal unfolding of a singularity of a symmetric vector field with 7-jet C?-equivalent to y ?/?x+(¿x3 ¿x6y) ?/?y.- Bifurcation in a quartic polynomial system arising in biology.- On the finiteness of certain boundary cycles for NTH degree polynomial vector fields.- Algebraic integrals of quadratic systems with a weak focus.- Rotated vector fields decomposition method and its application.- Remarks on the delay of the loss of stability of systems with changing parameter.
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