Tuesday, 12 January 2010

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON SYSTEMS
Transactions ID Number: 89-269
Full Name: Astrid Rekker
Position: Associate Professor
Age: ON
Sex: Female
Address: Narva Road 25, 10120 Tallinn
Country: ESTONIA
Tel: +372 6409410
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E-mail address: astrid.rekker@tlu.ee
Other E-mails: astrid@tlu.ee
Title of the Paper: Energetic instability of a fractional oscillator
Authors as they appear in the Paper: Astrid Rekker, Romi Mankin
Email addresses of all the authors: astrid.rekker@tlu.ee,romi.mankin@tlu.ee
Number of paper pages: 10
Abstract: We explore the problem of memory-enhanced stability occurring in a fractional oscillator with fluctuating eigenfrequency when the oscillator is driven by external sinusoidal forcing and by an additive internal fractional noise with a power-law type memory. It is established that at intermediate values of the memory exponent the energetic stability of the oscillator is significantly enhanced. We show that, by conveniently choosing the system parameters, the output signal-to-noise ratio is a double peaked function of the memory exponent, thus demonstrating the phenomenon of memory controlled stochastic multiresonance. The connection between the occurrence of energetic instability and the phenomenon of memory-induced multiresonance is established.
Keywords: Fractional oscillator, stochastic resonance, fractional noise, white noise, energetic instability, viscoelastic friction.
EXTENSION of the file: .pdf
Special (Invited) Session: Stochastic parametric resonance of a fractional oscillator
Organizer of the Session: 697-195
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