INHIBITION OF CHAOTIC ESCAPE FROM A POTENTIAL WELL USING SMALL PARAMETRIC MODULATIONS

Authors
CHACON R BALIBREA F LOPEZ MA
Citation
R. Chacon et al., INHIBITION OF CHAOTIC ESCAPE FROM A POTENTIAL WELL USING SMALL PARAMETRIC MODULATIONS, Journal of mathematical physics, 37(11), 1996, pp. 5518-5523
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
11
Year of publication
1996
Pages
5518 - 5523
Database
ISI
SICI code
0022-2488(1996)37:11<5518:IOCEFA>2.0.ZU;2-E
Abstract
It is shown theoretically for the first time that, depending on its pe riod, amplitude, and initial phase, a periodic parametric modulation c an suppress a chaotic escape from a potential well. The instance of th e Helmholtz oscillator is used to demonstrate, by means of Melnikov's method, that parametric modulations of the linear or quadratic potenti al terms inhibit chaotic escape when certain resonance conditions are met. (C) 1996 American Institute of Physics.