Bifurcations of Planar Vector Fields [electronic resource] : Proceedings of a Meeting held in Luminy, France, Sept. 18–22, 1989 / edited by Jean-Pierre Françoise, Robert Roussarie.
Material type: TextSeries: Lecture Notes in Mathematics ; 1455Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1990Description: VIII, 400 p. online resourceContent type:- text
- computer
- online resource
- 9783540467229
- 515 23
- QA299.6-433
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.
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