The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON BIOLOGY AND BIOMEDICINE
Transactions ID Number: 89-460
Full Name: Erkki Soika
Position: Assistant Professor
Age: ON
Sex: Male
Address: Narva mnt 25, T-517, 10120, Tallinn
Country: ESTONIA
Tel: +372 6 409 407
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E-mail address: erkki.soika@tlu.ee
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Title of the Paper: Response of a fractional oscillator to multiplicative trichotomous noise
Authors as they appear in the Paper: Erkki Soika, Romi Mankin
Email addresses of all the authors: erkki.soika@tlu.ee, romi.mankin@tlu.ee
Number of paper pages: 10
Abstract: We explore the phenomenon of stochastic resonance occurring in a fractional oscillator subjected to an external periodic force. The influence of fluctuations of environmental parameters on the dynamics of the oscillator is modeled as a multiplicative three-level Markovian noise. Using the Shapiro-Loginov formula, exact expressions for the response to an external periodic field are found. It is shown that there exists a critical memory exponent (a fractional exponent) which marks a dynamical transition in the behavior of the system. Particularly, it is demonstrated that the spectral amplification of the output signal exhibits a resonance-like nonmonotonic dependence on noise parameters. Influence of the memory exponent on friction-induced reentrant transitions between different resonance regimes of the oscillator is also discussed.
Keywords: Stochastic oscillator, fractional oscillator, stochastic resonance, trichotomous noise, hypersensitive response, viscoelastic friction
EXTENSION of the file: .pdf
Special (Invited) Session: Trichotomous-noise-induced stochastic resonance for a fractional oscillator
Organizer of the Session: 643-128
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