DETAILED BIFURCATIONS OF PERIODIC-ORBITS WITH THREEFOLD SYMMETRY OF THE HENON-HEILES HAMILTONIAN

Authors
KUROSAKI S
Citation
S. Kurosaki, DETAILED BIFURCATIONS OF PERIODIC-ORBITS WITH THREEFOLD SYMMETRY OF THE HENON-HEILES HAMILTONIAN, Journal of the Physical Society of Japan, 64(10), 1995, pp. 3589-3592
Citations number
11
Categorie Soggetti
Physics
Journal title
Journal of the Physical Society of Japan → ACNP
ISSN journal
00319015
Volume
64
Issue
10
Year of publication
1995
Pages
3589 - 3592
Database
ISI
SICI code
0031-9015(1995)64:10<3589:DBOPWT>2.0.ZU;2-6
Abstract
The bifurcation process of periodic orbits of the Henon-Heiles Hamilto nian system is investigated by calculating residues. Threefold symmetr y of the system induces bifurcations with triple branches, to which th e generic bifurcation scheme proposed by Meyer can not be applied. Nor mal form analysis gives results consistent with numerically observed b ifurcations.