Stochastic sensitivity and noise-induced bifurcations of limit cycles
نویسندگان
چکیده
منابع مشابه
Stochastic Sensitivity and Noise-Induced Bifurcations of Limit Cycles
Introduction Analysis of the forced nonlinear dynamical systems plays an important role for understanding of the various noise-induced phenomena in mechanics, electronics, biology and economics. Even small random disturbances may essentially change behavior of the dynamic system and generate noise-induced transitions, stochastic bifurcations, noise-induced order and chaos [1-7]. In the present ...
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The stochastically forced three-dimensional Hindmarsh–Rose model of neural activity is considered. We study the effect of random disturbances in parametric zones where the deterministic model exhibits monoand bistable dynamic regimes with period-adding bifurcations of oscillatory modes. It is shown that in both cases the phenomenon of noise-induced bursting is observed. In the monostable zone, ...
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ژورنال
عنوان ژورنال: Applied Mathematical Sciences
سال: 2013
ISSN: 1314-7552
DOI: 10.12988/ams.2013.13102