Mixed-mode oscillations in a stochastic, piecewise-linear system
نویسندگان
چکیده
منابع مشابه
Mixed-Mode Oscillations in a Stochastic, Piecewise-Linear System
We analyze a piecewise-linear FitzHugh-Nagumo model. The system exhibits a canard near which both small amplitude and large amplitude periodic orbits exist. The addition of small noise induces mixed-mode oscillations (MMOs) in the vicinity of the canard point. We determine the effect of each model parameter on the stochastically driven MMOs. In particular we show that any parameter variation (s...
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Canard-induced phenomena have been extensively studied in the last three decades, both from the mathematical and from the application viewpoints. Canards in slow-fast systems with (at least) two slow variables, especially near folded-node singularities, give an essential generating mechanism for Mixed-Mode oscillations (MMOs) in the framework of smooth multiple timescale systems. There is a wea...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2011
ISSN: 0167-2789
DOI: 10.1016/j.physd.2011.04.017