Journal
NONLINEAR DYNAMICS
Volume 77, Issue 3, Pages 681-686Publisher
SPRINGER
DOI: 10.1007/s11071-014-1330-4
Keywords
Fractional derivative; Stochastic process; Nonlinear dynamics
Categories
Funding
- Polish National Science Center [2012/05/B/ST8/00080]
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A bistable dynamical system with the Duffing potential, fractional damping, and random excitation has been modelled. To excite the system, we used a stochastic force defined by Wiener random process of Gaussian distribution. As expected, stochastic resonance appeared for sufficiently high noise intensity. We estimated the critical value of the noise level as a function of derivative order . For smaller order , damping enhancement was reported.
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