SADDLE-POINT BIFURCATION AND ONSET OF LARGE-SCALE STOCHASTICITY IN 1.5-DEGREE-OF-FREEDOM HAMILTONIAN-SYSTEMS

Authors
BENKADDA S ELSKENS Y
Citation
S. Benkadda et Y. Elskens, SADDLE-POINT BIFURCATION AND ONSET OF LARGE-SCALE STOCHASTICITY IN 1.5-DEGREE-OF-FREEDOM HAMILTONIAN-SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(5), 1993, pp. 180003211-180003213
Citations number
4
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
48
Issue
5
Year of publication
1993
Pages
180003211 - 180003213
Database
ISI
SICI code
1063-651X(1993)48:5<180003211:SBAOOL>2.0.ZU;2-J
Abstract
A recent numerical work(P. Hennequin, M.A. Dubois, and R. Nakach, Phys . Lett. A 164, 259 (1992)) analyzed the effect of the separatrix shape on stochasticity onset in a two-wave Hamiltonian system and stated in particular a very unexpected result: it linked a lowering of the stoc hasticity threshold to the flattening of a ''separatrix angle'' and to the bifurcation of the associated saddle point. In this paper, we sho w that there is no simple dependence of this threshold on a given cont rol parameter of the separatrix shape.