Bifurcations of Planar Vector Fields
Bifurcations of Planar Vector Fields Proceedings of a Meeting held in Luminy, France, Sept. 18–22, 1989 / [electronic resource] :
edited by Jean-Pierre Françoise, Robert Roussarie.
- VIII, 400 p. online resource.
- Lecture Notes in Mathematics, 1455 0075-8434 ; .
- Lecture Notes in Mathematics, 1455 .
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.
9783540467229
10.1007/BFb0085387 doi
Global analysis (Mathematics).
Analysis.
QA299.6-433
515
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.
9783540467229
10.1007/BFb0085387 doi
Global analysis (Mathematics).
Analysis.
QA299.6-433
515