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arXiv · 1401.6999

Synchronization of two coupled multimode oscillators with time-delayed feedback

Yulia P. Emelianova·Valeriy V. Emelyanov·Nikita M. Ryskin
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Abstract

Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires many new features not inherent to finite-dimensional ones. A picture of oscillation modes in cases of identical and non-identical coupled oscillators is studied in detail. Periodical structure of amplitude death and "broadband synchronization" zones is investigated. Such a behavior occurs due to the resonances between different modes of the infinite-dimensional system with time delay.

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Yulia P. Emelianova, Valeriy V. Emelyanov, Nikita M. Ryskin. 2014-05-03. Synchronization of two coupled multimode oscillators with time-delayed feedback. https://doi.org/10.1016/j.cnsns.2014.03.031

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