For citation:
Kuznetsov A. P., Sataev I. R., Turukina L. V. Phase dynamics of periodically driven quasiperiodic self-vibrating oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 17-32. DOI: 10.18500/0869-6632-2010-18-4-17-32
Phase dynamics of periodically driven quasiperiodic self-vibrating oscillators
Synchronization phenomena are studied in phase dynamics approximation in the periodically driven system of two coupled oscillators. The cases are discussed when the autonomous oscillators demonstrate phase locking or beats with incommensurate frequencies. Lyapunov charts are presented, the possible regimes of dynamics of the driven system are discussed. Different types of two-dimensional tori are revealed and classified. The modification of computer generated charts of dynamical regimes method is suggested to identify the domains of existence for different two-dimensional tori.
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