STABILITY EXCHANGES BETWEEN PERIODIC-ORBITS IN A HAMILTONIAN DYNAMIC SYSTEM

Authors
ERIKSSON AB DAHLQVIST P
Citation
Ab. Eriksson et P. Dahlqvist, STABILITY EXCHANGES BETWEEN PERIODIC-ORBITS IN A HAMILTONIAN DYNAMIC SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(2), 1993, pp. 1002-1006
Citations number
19
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
47
Issue
2
Year of publication
1993
Pages
1002 - 1006
Database
ISI
SICI code
1063-651X(1993)47:2<1002:SEBPIA>2.0.ZU;2-6
Abstract
Exchange of stability between periodic orbits of the same winding numb er is observed in a one-parameter family of quartic potentials. We use numerical simulations to study the exchanges that occur between two v alues of the parameter for which the system is integrable. The relevan ce for the survival of Kolmogorov-Arnold-Moser tori is briefly discuss ed and parallels are drawn to a similar phenomenon earlier observed fo r area-preserving maps.