OFF-RESONANT SUPPRESSION OF STOCHASTICITY IN THE GENERALIZED PULLEN-EDMONDS SYSTEM

Citation
Av. Buryak et Pv. Elyutin, OFF-RESONANT SUPPRESSION OF STOCHASTICITY IN THE GENERALIZED PULLEN-EDMONDS SYSTEM, Physics letters. A, 177(1), 1993, pp. 21-28
Citations number
15
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
177
Issue
1
Year of publication
1993
Pages
21 - 28
Database
ISI
SICI code
0375-9601(1993)177:1<21:OSOSIT>2.0.ZU;2-W
Abstract
The influence of a small difference between the frequencies of the nor mal modes of a two-dimensional nonlinear oscillator on the onset of st ochasticity is studied. The energy half-width of the stochastic layer in the vicinity of the separatrix is calculated using Chirikov's appro ximation. The nonmonotonic dependence of the half-width on the deviati on from resonance and the eventual vanishing of the stochastic layer a re found.