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Chimera states in a population of identical oscillators under planar cross-coupling

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Abstract

We report the existence of chimera states in an assembly of identical nonlinear oscillators that are globally linked to each other in a simple planar cross-coupled form. The rotational symmetry breaking of the coupling term appears to be responsible for the emergence of these collective states that display a characteristic coexistence of coherent and incoherent behaviour. The finding, observed in both a collection of van der Pol oscillators and chaotic Rössler oscillators, further simplifies the existence criterion for chimeras, thereby broadens the range of their applicability to real-world situations.

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Acknowledgements

CRH, SKD and PKR acknowledge support by the CSIR Emeritus Scientist Schemes. A Mishra is supported by the UGC-NET Fellowship.

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Authors and Affiliations

  1. CSIR-Indian Institute of Chemical Biology, Kolkata, 700 032, India

    C R HENS & S K DANA

  2. Department of Physics, Jadavpur University, Kolkata, 700 032, India

    A MISHRA

  3. Department of Mathematics, Presidency University, Kolkata, 700 073, India

    P K ROY

  4. Institute for Plasma Research, Gandhinagar, 382 428, India

    A SEN

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  1. C R HENS
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  2. A MISHRA
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  3. P K ROY
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  4. A SEN
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  5. S K DANA
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Correspondence to S K DANA.

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HENS, C.R., MISHRA, A., ROY, P.K. et al. Chimera states in a population of identical oscillators under planar cross-coupling. Pramana - J Phys 84, 229–235 (2015). https://doi.org/10.1007/s12043-015-0941-8

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  • DOI: https://doi.org/10.1007/s12043-015-0941-8

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