Topic
Equivariant map
About: Equivariant map is a research topic. Over the lifetime, 9205 publications have been published within this topic receiving 137115 citations.
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TL;DR: The spring-pendulum in resonance (SIR) model as mentioned in this paper is a time-independent Hamiltonian model system for formal reduction to one degree of freedom, where some symmetry is maintained.
Abstract: A spring-pendulum in resonance is a time-independent Hamiltonian model system for formal reduction to one degree of freedom, where some symmetry (reversibility) is maintained. The reduction is handled by equivariant singularity theory with a distinguished parameter, yielding an integrable approximation of the Poincare map. This makes a concise description of certain bifurcations possible. The computation of reparametrizations from normal form to the actual system is performed by Grobner basis techniques.
33 citations
TL;DR: In this article, an explicit Picard-Fuchs differential equation satisfied by Abelian integrals of monomial forms and majorizing its coefficients is presented. But the system admitting such explicit majorants appears only in dimension approximately two times greater than the standard Picard Fuchs system, and the result is used to obtain a partial solution to the tangential Hilbert 16th problem.
33 citations
Journal Article•
TL;DR: In this article, the authors present conditions générales d'utilisation, i.e., toute utilisation commerciale ou impression systématique is constitutive d'une infraction pénale.
Abstract: © Société mathématique de France, 1992, tous droits réservés. L’accès aux archives de la collection « Astérisque » (http://smf4.emath.fr/ Publications/Asterisque/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
33 citations
33 citations
33 citations