Abstract
Time-periodic systems close to two-dimensional non-linear Hamiltonian systems are studied in the case when the perturbation contains non-linear parametric terms and is non-conservative. A condition for the existence of new regimes in the resonance zones, namely, regular two-frequency and irregular “quasi-attractors” is established. The problem of the transition from the resonance case to the non-resonance one as the difference in tuning frequency is altered is solved by analysing self-excited oscillatory truncated systems determining the topology of the resonance zones. Using a specific example, it is shown that the numerical and analytic results are in good agreement in the quasiconservative case.
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