Bifurcations of planar vector fields : proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989
著者
書誌事項
Bifurcations of planar vector fields : proceedings of a meeting held in Luminy, France, Sept. 18-22, 1989
（Lecture notes in mathematics, 1455）
Springer-Verlag, c1990
- : gw
- : us
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Retard a 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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