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摘要
In this paper, we study the effect of Gaussian white noise on escapes in Helmholtz oscillator whose basin of attraction has a integral structure in the absence of noise. Four different ways are adopted to implement the noise perturbation, namely, the external forcing, damping coefficient, strength and phase of the external forcing of oscillator have been subjected to noise, respectively. It is found that in the first, second and third cases of noise perturbation, when the noise intensity D > 0, the escapes are triggered and as D is further increased the escapes become more serious. Whereas, in the last case of noise perturbation, no escape can be observed, even with lager value of noise intensity. These phenomena imply that noise-perturbed external forcing, damping coefficient and forcing strength will make it easier to induce and enhance escapes in dynamical Helmholtz oscillator.
