BIFURCATION OF LOCKED STATES IN STOCHASTIC-SYSTEMS

Authors
KIM SW PARK SH RYU CS
Citation
Sw. Kim et al., BIFURCATION OF LOCKED STATES IN STOCHASTIC-SYSTEMS, International journal of bifurcation and chaos in applied sciences and engineering, 8(3), 1998, pp. 591-595
Citations number
5
Categorie Soggetti
Mathematics,Mathematics,"Multidisciplinary Sciences
Journal title
International journal of bifurcation and chaos in applied sciences and engineering → ACNP
ISSN journal
02181274
Volume
8
Issue
3
Year of publication
1998
Pages
591 - 595
Database
ISI
SICI code
0218-1274(1998)8:3<591:BOLSIS>2.0.ZU;2-H
Abstract
A stochastic system with a vanishing diffusion at deterministic fixed points is analytically studied. Above the critical noise intensity, th e noise stabilizes the deterministic unstable fixed points. The system is locked at one of the deterministic stable or unstable fixed points with probabilities which depend on the noise intensity and an initial condition. An example is studied numerically showing the bifurcation of locked states.