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Proceedings Paper

Macroscopic limit cycle via a noise-induced phase transition
Author(s): Ryoichi Kawai; X. Sailer; Lutz Schimansky-Geier
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Paper Abstract

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.

Paper Details

Date Published: 7 May 2003
PDF: 9 pages
Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.490192
Show Author Affiliations
Ryoichi Kawai, Univ. of Alabama at Birmingham (United States)
X. Sailer, Humboldt-Univ. zu Berlin (Germany)
Lutz Schimansky-Geier, Humboldt-Univ. zu Berlin (Germany)

Published in SPIE Proceedings Vol. 5114:
Noise in Complex Systems and Stochastic Dynamics
Lutz Schimansky-Geier; Derek Abbott; Alexander Neiman; Christian Van den Broeck, Editor(s)

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