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Onset of Quasiperiodic Motions in a System of Dissipatively Coupled Nonlinear Oscillators Driven by a Periodic External Force
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Dynamical Systems and Ergodic Theory
- ISSN
- 1560-3547
- eISSN
- 1468-4845
- DOI
- 10.1134/S1560354718010094
- Publisher site
- See Article on Publisher Site
Abstract
The dynamics of two coupled antiphase driven Toda oscillators is studied. We demonstrate three different routes of transition to chaotic dynamics associated with different bifurcations of periodic and quasi-periodic regimes. As a result of these, two types of chaotic dynamics with one and two positive Lyapunov exponents are observed. We argue that the results obtained are robust as they can exist in a wide range of the system parameters.
Journal
Regular and Chaotic Dynamics – Springer Journals
Published: Feb 5, 2018