Hamiltonian bifurcations and local analytic classification
UNSPECIFIED (2004) Hamiltonian bifurcations and local analytic classification. In: Conference of the NATO-Advanced-Study-Institute on Normal Forms, Bifurcations and Finiteness Problems in Differential Equations, Montreal, CANADA, JUL 08-19, 2002. Published in: NORMAL FORMS, BIFURCATIONS AND FINITENESS PROBLEMS IN DIFFERENTIAL EQUATIONS, 137 pp. 251-265.Full text not available from this repository.
We discuss the topics related to generic bifurcations near strongly resonant periodic orbits in an analytic Hamiltonian system with two degrees of freedom. The problem is reduced to an one-parameter family of area-preserving maps. Up to any order, the dynamics near the bifurcation can be described by an integrable resonant normal form. In general the corresponding series diverge. In a natural way the study of the divergence leads to problems of local analytic classification and the splitting of invariant manifolds.
|Item Type:||Conference Item (UNSPECIFIED)|
|Subjects:||Q Science > QD Chemistry
Q Science > QA Mathematics
Q Science > QC Physics
|Series Name:||NATO SCIENCE SERIES, SERIES II: MATHEMATICS, PHYSICS AND CHEMISTRY|
|Journal or Publication Title:||NORMAL FORMS, BIFURCATIONS AND FINITENESS PROBLEMS IN DIFFERENTIAL EQUATIONS|
|Editor:||Ilyashenko, Y and Rousseau, C and Sabidussi, G|
|Number of Pages:||15|
|Page Range:||pp. 251-265|
|Title of Event:||Conference of the NATO-Advanced-Study-Institute on Normal Forms, Bifurcations and Finiteness Problems in Differential Equations|
|Location of Event:||Montreal, CANADA|
|Date(s) of Event:||JUL 08-19, 2002|
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