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Nonlinear resonance and synchronization in the ring of unidirectionally coupled Toda oscillators

European Physical Journal: Special Topics (2016) 225(13-14) 2635-2643
DOI: 10.1140/epjst/e2016-60016-0
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Abstract

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.

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CITATION STYLE

APA

Dvorak, A., Astakhov, V., Perlikowski, P., & Kapitaniak, T. (2016). Nonlinear resonance and synchronization in the ring of unidirectionally coupled Toda oscillators. European Physical Journal: Special Topics, 225(13–14), 2635–2643. https://doi.org/10.1140/epjst/e2016-60016-0

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