Coupled Brownian motors: anomalous-to-normal hysteresis transition and noise-induced limit cycle

Horacio S. Wio; Sergio E. Mangioni

doi:10.1117/12.497418

7 May 2003 Coupled Brownian motors: anomalous-to-normal hystersis transition and noise-induced limit cycle

Horacio S. Wio, Sergio E. Mangioni

Proceedings Volume 5114, Noise in Complex Systems and Stochastic Dynamics; (2003) https://doi.org/10.1117/12.497418
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States

Abstract

We study a model consisting of N nonlinear oscillators with global periodic coupling and local multiplicative and additive noises. The model was shown to undergo a nonequilibrium phase transition towards a broken-symmetry phase exhibiting noise-induced ``ratchet" behavior. Here we review some aspects leading to an "anomalous--to--normal" transition in the ratchet's hysteretic behavior and also show -as suggested by the absence of stable solutions when the load force is beyond a critical value- the existence of a limit cycle induced by both: multiplicative noise and global periodic coupling.

Citation Download Citation

Horacio S. Wio and Sergio E. Mangioni "Coupled Brownian motors: anomalous-to-normal hystersis transition and noise-induced limit cycle", Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); https://doi.org/10.1117/12.497418

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