Macroscopic limit cycle via a noise-induced phase transition

被引：1

作者：

Kawai, R ^{[1
]}

Sailer, X ^{[1
]}

Schimansky-Geier, L ^{[1
]}

机构：

[1] Univ Alabama, Dept Phys, Birmingham, AL 35294 USA

来源：

NOISE IN COMPLEX SYSTEMS AND STOCHASTIC DYNAMICS | 2003年 / 5114卷

关键词：

nonequilibrium phase transition; noise-induced phase transition; nonlinear dynamical systems; stochastic processes; Hopf bifurcation; pitchfork bifurcation;

D O I：

10.1117/12.490192

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Bistability generated via a noise-induced phase transition is reexamined from the view of macroscopic dynamical systems, which clarifies the role of fluctuation better than the conventional Fokker-Plank or Langevin equation approach. Using this approach, we investigated the spatially-extended systems with two degrees of freedom per site. The model systems undergo a noise-induced phase transition through a Hopf bifurcation, leading to a macroscopic limit cycle motion similar to the deterministic relaxation oscillation.

引用

页码：173 / 181

页数：9

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