STOCHASTIC DESCRIPTION OF A PERIOD-2 LIMIT-CYCLE

Citation
P. Geysermans et F. Baras, STOCHASTIC DESCRIPTION OF A PERIOD-2 LIMIT-CYCLE, Europhysics letters, 40(1), 1997, pp. 1-6
Citations number
30
Categorie Soggetti
Physics
Journal title
ISSN journal
02955075
Volume
40
Issue
1
Year of publication
1997
Pages
1 - 6
Database
ISI
SICI code
0295-5075(1997)40:1<1:SDOAPL>2.0.ZU;2-9
Abstract
The effect of internal noise on the period-2 behavior is investigated in low-dimensional dynamical systems. To treat the morphological compl exity of such attractors, a general stochastic formulation using a sui table moving frame in the Gaussian approximation is set up. Its applic ability is illustrated on a specific model, the Willamowski-Rossler ch emical scheme. Using this approach, we are able to interpret the direc t simulations of the master equation which show significant changes wi th respect to the deterministic behavior. Specifically, a band merging in the multi-periodic regime which at first sight seems to disrupt th e bifurcation cascade is observed. Marked inhomogeneities in the fluct uations distribution along the period-2 attractor explaining these fea tures are brought out.