Infinitesimally stable and unstable singularities of 2-degrees of freedom completely integrable systems

被引：0

作者：

A. Giacobbe

机构：

[1] Università di Padova,Dipartimento di Matematica Pura e Applicata

来源：

Regular and Chaotic Dynamics | 2007年 / 12卷

关键词：

singularities; completely integrable systems; bifurcation diagrams; infinitesimal deformations; cusps; local normal forms; 55R55; 37J35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article we give a list of 10 rank zero and 6 rank one singularities of 2-degrees of freedom completely integrable systems. Among such singularities, 14 are the singularities that satisfy a non-vanishing condition on the quadratic part, the remaining 2 are rank 1 singularities that play a role in the geometry of completely integrable systems with fractional monodromy. We describe which of them are stable and which are unstable under infinitesimal completely integrable deformations of the system.

引用

页码：717 / 731

页数：14

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