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Synchronization and multistability in the ring of modified Rössler oscillators

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Abstract

We discuss the occurrence of various synchronous states in a ring of unidirectionally coupled modified Rössler oscillators. When systems are uncoupled we observe, single node has an infinite number of different states. When the coupling strength increases the infinitely many synchronous states appear. We show that all synchronous solutions are different and change with varying initial conditions. The analysis is performed for three and four coupled oscillators. At the end of the paper we discuss possible synchronization scenarios for larger networks with ring topology.

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Authors and Affiliations

  1. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924, Lodz, Poland

    P. Jaros, P. Perlikowski & T. Kapitaniak

  2. Department of Civil and Environmental Engineering, National University of Singapore, 1 Engineering Drive 2, Singapore, 117576, Singapore

    P. Perlikowski

Authors
  1. P. Jaros
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  2. P. Perlikowski
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  3. T. Kapitaniak
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Correspondence to P. Perlikowski.

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Jaros, P., Perlikowski, P. & Kapitaniak, T. Synchronization and multistability in the ring of modified Rössler oscillators. Eur. Phys. J. Spec. Top. 224, 1541–1552 (2015). https://doi.org/10.1140/epjst/e2015-02478-7

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  • DOI: https://doi.org/10.1140/epjst/e2015-02478-7

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