MELNIKOV FUNCTION AND HOMOCLINIC CHAOS INDUCED BY WEAK PERTURBATIONS - COMMENT

Authors
SIMIU E FREY M
Citation
E. Simiu et M. Frey, MELNIKOV FUNCTION AND HOMOCLINIC CHAOS INDUCED BY WEAK PERTURBATIONS - COMMENT, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(4), 1993, pp. 3190-3192
Citations number
10
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
4
Year of publication
1993
Pages
3190 - 3192
Database
ISI
SICI code
1063-651X(1993)48:4<3190:MFAHCI>2.0.ZU;2-C
Abstract
The effect of noise on the possible occurrence of chaos in systems wit h a homoclinic orbit (e.g., the Duffing equation) was recently conside red by Bulsara, Schieve, and Jacobs [Phys. Rev. A 41, 668 (1990)], and Schieve and Bulsara [Phys. Rev. A 41, 1172 (1990)], who adopted an ap proach based on a redefinition of the Melnikov function. We show that this redefinition is unsatisfactory and leads to incorrect results.