Twofold role of noise in doubly stochastic effects

Alexei Zaikin; Jordi Garcia-Ojalvo; Lutz Schimansky-Geier; Juergen Kurths

doi:10.1117/12.488799

7 May 2003 Twofold role of noise in doubly stochastic effects

Alexei Zaikin, Jordi Garcia-Ojalvo, Lutz Schimansky-Geier, Juergen Kurths

Proceedings Volume 5114, Noise in Complex Systems and Stochastic Dynamics; (2003) https://doi.org/10.1117/12.488799
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States

Abstract

We study nonlinear systems under two noisy sources to demonstrate the concept of doubly stochastic effects. In such effects noise plays a twofold role: first it induces a special feature in the system, and second it interplays with this feature leading to noise-induced order. For this effect one needs to optimize both noisy sources, hence we call these phenomena doubly stochastic effects. To show the generality of this approach we apply this concept to several basic noise-induced phenomena: stochastic resonance, noise-induced propagation and coherence resonance. Additionally, we discuss an application of this concept to noise-induced transitions and ratchets. In all these noise-induced effects ordering occurs due to the joint action of two noisy sources.

Citation Download Citation

Alexei Zaikin, Jordi Garcia-Ojalvo, Lutz Schimansky-Geier, and Juergen Kurths "Twofold role of noise in doubly stochastic effects", Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); https://doi.org/10.1117/12.488799

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