2021
DOI: 10.2298/tsci191201125l
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Stochastic transition behaviors in a generalized Van der Pol oscillator with fractional damping under Gaussian white noise

Abstract: The stochastic P-bifurcation behavior of bi-stability in a generalized Van der Pol oscillator with a fractional damping under multiplicative Gaussian white noise excitation is investigated. Firstly, using the principle of minimal mean square error, the nonlinear stiffness terms can be equivalent to a linear stiffness which is a function of the system amplitude, and the original system is simplified to an equivalent integer order Van der Pol system. Secondly, the system amplitude?s stationary … Show more

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