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Classification and Analysis of Chimera States

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Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

We study the existence of different types of chimera states in a globally coupled sine circle map lattice with different strengths of intergroup and intragroup coupling. Some of the typical chimera phase configurations that can be observed in this system are aperiodic chimera states, splay chimera states and chimera states with spatiotemporally intermittent behaviour in the desynchronised group. These states are seen in different regions of the parameter space for three distinct kinds of initial conditions. We obtain the phase diagram containing the third type of chimera state, viz. the one with spatiotemporally intermittent regions, using complex order parameters. We construct an equivalent cellular automaton (CA) and reproduce the phase diagram in the region of interest by solving the mean field equation obtained for the CA.

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Authors and Affiliations

  1. Indian Institute of Technology Madras, Chennai, 600036, India

    Neelima Gupte & Joydeep Singha

Authors
  1. Neelima Gupte
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  2. Joydeep Singha
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Corresponding author

Correspondence to Neelima Gupte .

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Editors and Affiliations

  1. Space and Naval Warfare Systems Center, San Diego, CA, USA

    Visarath In

  2. Space and Naval Warfare Systems Center, San Diego, CA, USA

    Patrick Longhini

  3. Department of Mathematics and Statistics, San Diego State University, San Diego, CA, USA

    Antonio Palacios

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Gupte, N., Singha, J. (2019). Classification and Analysis of Chimera States. In: In, V., Longhini, P., Palacios, A. (eds) Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-10892-2_33

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  • DOI: https://doi.org/10.1007/978-3-030-10892-2_33

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10891-5

  • Online ISBN: 978-3-030-10892-2

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