Bifurcations of Planar Vector Fields

Inhaltsverzeichnis

• Retard à la 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.