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, JUL 08-19, 2002, Montreal, CANADA.

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Abstract

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
Publisher:	SPRINGER
ISBN:	1-4020-1928-9
Editor:	Ilyashenko, Y and Rousseau, C and Sabidussi, G
Date:	2004
Volume:	137
Number of Pages:	15
Page Range:	pp. 251-265
Publication Status:	Published
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
URI:	http://wrap.warwick.ac.uk/id/eprint/7694

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