Comparison of aperiodic stochastic resonance in a bistable system realized by adding noise and by tuning system parameters

Bohou Xu, Fabing Duan, and François Chapeau-Blondeau
Phys. Rev. E 69, 061110 – Published 23 June 2004

Abstract

Two methods of realizing aperiodic stochastic resonance (ASR) by adding noise and tuning system parameters in a bistable system, after a scale transformation, can be compared in a real parameter space. In this space, the resonance point of ASR via adding noise denotes the extremum of a line segment, whereas the method of tuning system parameters presents the extrema of a parameter plane. We demonstrate that, in terms of the system performance, the method of tuning system parameters takes the precedence of the approach of adding noise for an adjustable bistable system. Besides, adding noise can be viewed as a specific case of tuning system parameters. Further research shows that the optimal system found by tuning system parameters may be subthreshold or suprathreshold, and the conventional ASR effects might not occur in some suprathreshold optimal systems.

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  • Received 30 August 2002

DOI:https://doi.org/10.1103/PhysRevE.69.061110

©2004 American Physical Society

Authors & Affiliations

Bohou Xu*

  • Department of Mechanics, Zhejiang University, Hangzhou 310027, People’s Republic of China

Fabing Duan

  • Institute of Complexity Science, Department of Automation Engineering, Qingdao University, Qingdao 266071, People’s Republic of China

François Chapeau-Blondeau

  • Laboratoire d’Ingénierie des Systèmes Automatisés (LISA), Université d’Angers, 62 avenue Notre Dame du Lac, Angers 49000, France

  • *Also at the State Key Laboratory of Fluid Power Transmission & Control, Zhejiang University, Hangzhou 310027, P.R. China; electronic address: xubohou@cmee.zju.edu.cn (B. Xu)

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Issue

Vol. 69, Iss. 6 — June 2004

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