Bifurcations of Planar Vector Fields

Proceedings of a Meeting held in Luminy, France, Sept. 18-22, 1989

AvJean-Pierre Francoise,Robert Roussarie

Häftad, Engelska, 1990

Del 1455 i serien Lecture Notes in Mathematics

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Beskrivning

A collection of papers on differential equations and dynamical systems which stresses topics relating to Hilbert's 16th problem. Among these are a solution to Dulac's problem, results on the multiplicity of singular cycles and results on the zeroes of abelian integrals.

Produktinformation

Utgivningsdatum:1990-12-12
Mått:155 x 235 x 23 mm
Vikt:616 g
Format:Häftad
Språk:Engelska, Franska
Serie:Lecture Notes in Mathematics
Antal sidor:400
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540535096

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

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.