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We studied the stochastic Morris–Lecar model of both Type I and II excitability using the large deviation theory. A mechanical interpretation for the discontinuity of the optimal path that has been found for decades in nearly all systems driven by weak white noise was provided. By doing that, we connected some long-separated concepts in mechanics, mathematics and physics: sliding set of non-smooth...
Piecewise smooth vibration isolation system is a class of nonlinear dynamics system with piecewise stiffness or damping, which can be found widely in practical engineering. Such nonlinearity can achieve specified dynamics behaviors for vibration isolation system and improve its energy isolation effectiveness, but it will also bring some unexpected nonlinear dynamics phenomena, such as sudden amplitude...
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