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EFFECTS OF DIFFERENT NON LINEAR PARAMETRIC RESONANT PERTURBATIONS ON SUPPRESSION OF CHAOS

    https://doi.org/10.1142/9789812794253_0059Cited by:0 (Source: Crossref)
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    Abstract:

    We consider the nonlinear differential equation , where the dissipation and amplitude P are both small. The standard Melnikov analysis allows to detect parameter regions with homoclinic chaos. We show that a resonant parametric perturbation in quadratic and cubic terms may lead to disappearence of transversal homoclinics. This phenomenen can be used to suppress chaos in the equation, which is supported by our numerical experiments.