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Enhancing synchronization in chaotic oscillators by induced heterogeneity

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Abstract

We report enhancing of complete synchronization in identical chaotic oscillators when their interaction is mediated by a mismatched oscillator. The identical oscillators now interact indirectly through the intermediate relay oscillator. The induced heterogeneity in the intermediate oscillator plays a constructive role in reducing the critical coupling for a transition to complete synchronization. A common lag synchronization emerges between the mismatched relay oscillator and its neighboring identical oscillators that leads to this enhancing effect. We present examples of one-dimensional open array, a ring, a star network and a two-dimensional lattice of dynamical systems to demonstrate how this enhancing effect occurs. The paradigmatic Rössler oscillator is used as a dynamical unit, in our numerical experiment, for different networks to reveal the enhancing phenomenon.

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Authors and Affiliations

  1. School of Engineering & Technology, BML Munjal University, Gurgaon, India

    Ranjib Banerjee

  2. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, India

    Bidesh K. Bera & Dibakar Ghosh

  3. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    Syamal Kumar Dana

Authors
  1. Ranjib Banerjee
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  2. Bidesh K. Bera
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  3. Dibakar Ghosh
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  4. Syamal Kumar Dana
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Correspondence to Ranjib Banerjee.

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Banerjee, R., Bera, B.K., Ghosh, D. et al. Enhancing synchronization in chaotic oscillators by induced heterogeneity. Eur. Phys. J. Spec. Top. 226, 1893–1902 (2017). https://doi.org/10.1140/epjst/e2017-70027-9

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  • DOI: https://doi.org/10.1140/epjst/e2017-70027-9

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