Global bifurcations of periodic solutions of Henon-Heiles system via degree for S-1-equivariant orthogonal maps

Authors
Maciejewski, A Rybicki, S
Citation
A. Maciejewski et S. Rybicki, Global bifurcations of periodic solutions of Henon-Heiles system via degree for S-1-equivariant orthogonal maps, REV MATH PH, 10(8), 1998, pp. 1125-1146
Citations number
27
Categorie Soggetti
Physics
Journal title
REVIEWS IN MATHEMATICAL PHYSICS
ISSN journal
0129055X → ACNP
Volume
10
Issue
8
Year of publication
1998
Pages
1125 - 1146
Database
ISI
SICI code
0129-055X(199811)10:8<1125:GBOPSO>2.0.ZU;2-X
Abstract
In this article we investigate global bifurcations of non-stationary period ic solutions of autonomous Hamiltonian systems. As the main tool we use the degree theory for S-1- equivariant orthogonal maps (see [24]-[26]). In ord er to illustrate our abstract results, we study global bifurcations of peri odic solutions of the famous Henon-Heiles Hamiltonian system.