STOCHASTIC-ANALYSIS OF LIMIT-CYCLE BEHAVIOR IN SPATIALLY EXTENDED SYSTEMS

Authors
BARAS F
Citation
F. Baras, STOCHASTIC-ANALYSIS OF LIMIT-CYCLE BEHAVIOR IN SPATIALLY EXTENDED SYSTEMS, Physical review letters, 77(7), 1996, pp. 1398-1401
Citations number
31
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
77
Issue
7
Year of publication
1996
Pages
1398 - 1401
Database
ISI
SICI code
0031-9007(1996)77:7<1398:SOLBIS>2.0.ZU;2-2
Abstract
The statistical properties of a one-dimensional reaction-diffusion sys tem undergoing a Hopf bifurcation are studied using the master equatio n approach. The analysis reveals nontrivial interferences between macr oscopic dynamics and mesoscopic local fluctuations that eventually wip e out any trace of homogeneous oscillations, even though the latter ar e asymptotically stable solutions of the deterministic equations.