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Название: Stochastic Phase Lockings in a Relaxation Oscillator Forced by a Periodic Input with Additive Noise: A First-Passage-Time Approach
Авторы: Tateno T., Dot S., Sato S.
Journal of Statistical Physics, Vol. 78, Nos. 3/4, 1995. p. 917-935.
Noise effects on phase lockings in a system consisting of a piecewise-linear van der Pol relaxation oscillator driven by a periodic input are studied. The problem of finding the period of the oscillator is reduced to the first-passage-time problem of the Ornstein-Uhlenbeck process with time-varying boundary. The probability density functions of the first-passage time are used to define the operator which governs a transition of an input phase density after one cycle of the oscillator. Phase lockings in a stochastic sense are investigated on the basis of the density evolution by the operator.