Nonlinear resonance and synchronization in the ring of unidirectionally coupled Toda oscillators
1 Department of Radioelectronics and Telecommunications, Yuri Gagarin State Technical University of Saratov, Polytechnicheskaya 77, Saratov 410054, Russia
2 Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
Received: 31 January 2016
Revised: 29 July 2016
Published online: 22 November 2016
In the ring of unidirectionally coupled Toda oscillators the nonlinear resonance and the synchronization are investigated. It is shown how the nonlinear resonance affects the structure of the main synchronization region. As a result of nonlinear resonance we observe the coexistence of two stable limit cycles near the resonant frequency, which leads to coexistence of periodic and quasi-periodic regimes within the synchronization region.
© The Author(s) 2016
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