The stochastic motions of Duffing‐Van der Pol oscillators driven by white noise are investigated by using several theoretical methods: analytical and numerical calculations of the stationary probability distribution, analysis of the Hopf bifurcation, computer simulations and study of Lyapunov exponents. One observes a break of the radial symmetry and noise induced oscillations.
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Ebeling et al. (1986) studied this question.
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