NDLI: Stochastic resonance in a fractal dimensional bistable system

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Stochastic resonance in a fractal dimensional bistable system

Content Provider	Springer Nature Link
Author	Chen, R. Y. Nie, L. R.
Copyright Year	2017
Abstract	A fractal dimensional bistable system driven by multiplicative and additive noises and a periodic signal is investigated. We have derived analytically the fractal Fokker–Planck equation of the system, and obtained exact expression of its signal-to-noise ratio (SNR). Numerical results indicate that: (1) The curve of the SNR as a function of multiplicative noise intensity D or additive noise intensity Q exhibits a peak in the fractal dimensional system, i.e., a stochastic resonance phenomenon; (2) For the smaller values of D, the SNR first decreases then increases with increment of dimensionality $$\alpha $$ . At the integer dimension of $$\alpha =1$$ , response of the system to the weak periodic signal displays a minimum. Yet the SNR increases monotonically for the greater values of D. Our further investigation shows that the height of the potential barrier depends on the dimensionality, and influences on the SNR of the system.
Starting Page	973
Ending Page	977
Page Count	5
File Format	PDF
ISSN	09731458
Journal	Indian Journal of Physics
Volume Number	91
Issue Number	8
e-ISSN	09749845
Language	English
Publisher	Springer India
Publisher Date	2017-04-19
Publisher Place	New Delhi
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Bistable system Fractal dimensionality Noises Stochastic resonance Physics Astrophysics and Astroparticles
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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