On Resonances in Systems of Two Weakly Coupled Oscillators

    2009, Volume 14, Number 2, pp.  237-247

    Author(s): Morozov A. D., Kondrashov R. E.

    Assuming that two weakly coupled oscillators are essentially nonlinear we construct the most suitable form of a shortened 3-dimensional system which describes behavior of solutions inside non-degenerate resonance zones. We analyze a model system of that kind and establish the existence of limit cycles of different types and also the existence of nonregular attractors which are explained by the existence of saddle-focus loops.
    Keywords: oscillators, resonances, cycles, equilibrium, attractors, average
    Citation: Morozov A. D., Kondrashov R. E., On Resonances in Systems of Two Weakly Coupled Oscillators, Regular and Chaotic Dynamics, 2009, Volume 14, Number 2, pp. 237-247

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