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arXiv · 1507.01992

Synchronization of two Rossler systems with switching coupling

Mattia Frasca·Arturo Buscarino·Marco Branciforte·Luigi Fortuna·Julien Clinton Sprott
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Abstract

In this paper, we study a system of two Rossler oscillators coupled through a time-varying link, periodically switching between two values. We analyze the system behavior with respect to the frequency of the switching. By applying an averaging technique under the hypothesis of a high switching frequency, we find that although each value of the coupling does not produce synchronization, switching between the two at a high frequency stabilizes the synchronization manifold. However, we also find windows of synchronization below the value predicted by this technique, and we develop a master stability function to explain the appearance of these windows. Spectral properties of the system are a useful tool for understanding the dynamical properties and the synchronization failure in some intervals of the switching frequency. Numerical and experimental results in agreement with the analysis are presented.

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Mattia Frasca, Arturo Buscarino, Marco Branciforte, Luigi Fortuna, Julien Clinton Sprott. 2015-07-07. Synchronization of two Rossler systems with switching coupling. https://arxiv.org/abs/1507.01992

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