Degenerate Resonances and Synchronization of Quasiperiodic Oscillations

نویسندگان

چکیده

We consider quasiperiodic nonconservative perturbations of two-dimensional nonlinear Hamiltonian systems. introduce the notion a degenerate resonance and study topology zone with odd even orders degeneracy. A special attention is paid oscillation synchronization while an invariant torus passing through zone. establish existence intervals respect to control parameter. The based on analysis pendulum–type averaged system determining dynamics in

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ژورنال

عنوان ژورنال: Journal of Mathematical Sciences

سال: 2023

ISSN: ['1072-3374', '1573-8795']

DOI: https://doi.org/10.1007/s10958-023-06320-5