Papers Submitted to WSEAS Conferences and WSEAS Journals: Wseas Transactions

Thursday, 25 November 2010

Wseas Transactions

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Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 19-745
Full Name: Katrin Laas
Position: Assistant
Age: ON
Sex: Female
Address: 25 Narva Road, 10120 Tallinn
Country: ESTONIA
Tel: +37256981946
Tel prefix:
Fax:
E-mail address: katrin.laas@tlu.ee
Other E-mails: klaas.82@hot.ee
Title of the Paper: Influence of memory time on the resonant behavior of an oscillatory system described by a generalized Langevin equation
Authors as they appear in the Paper: Katrin Laas, Romi Mankin, Eerik Reiter
Email addresses of all the authors: katrin.laas@tlu.ee,romi@tlu.ee,eerik.reiter@ttu.ee
Number of paper pages: 10
Abstract: Motivated by subdiffusive motion of biomolecules observed in living cells, we study the output response of a system with memory described by a generalized Langevin equation under the impact of an external periodic force. The influence of fluctuations of environmental parameters on the dynamics of the system is modeled by a multiplicative dichotomous noise and by an internal Mittag-Leffler noise. The long-time behavior of the output response is obtained and the presence of stochastic resonance effects are analyzed. In the short memory time limit of Mittag-Leffler noise the dynamics of the system corresponds to a fractional oscillator driven by an internal noise with a power-law autocorrelation function. However, at intermediate and long memory times the dynamics has qualitative difference. Particularly, it is established that the critical memory exponent which marks a dynamical transition in the behavior of the system considered depends strongly on the ratio of the !
period of the external deterministic force to the memory time. The phenomena of the resonance versus the memory time as well as friction-induced transitions between different stochastic resonance regimes are also discussed.
Keywords: Generalized Langevin equation, Memory-induced resonance, Mittag-Leffler noise, Multiplicative noise, Stochastic resonance, Viscoelastic friction
EXTENSION of the file: .doc
Special (Invited) Session: Stochastic Resonance in the Case of a Generalized Langevin Equation with a Mittag-Lefï¬‚er Friction Kernel
Organizer of the Session: 638-404
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