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Revival of oscillations via common environment

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Abstract

We explore the behavior of groups of Landau-Stuart oscillators, with diffusive mean-field coupling within the group and indirect inter-group coupling mediated by a common medium. Interestingly, we find that oscillations are revived in groups with fixed point dynamics by coupling to an oscillatory group through the common medium. We also investigate groups of Hindmarsh–Rose model neurons and demonstrate the emergence of spiking in indirectly coupled inactive neuronal groups, indicating the vital role of the common medium in restoring oscillations.

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Acknowledgements

We acknowledge the support from DST, New Delhi.

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Authors and Affiliations

  1. Indian Institute of Science Education and Research Mohali, Knowledge City, SAS Nagar, Sector 81, Manauli PO, Mohali, Punjab, 140 306, India

    Manish Yadav & Sudeshna Sinha

  2. Department of Physics, Central University of Rajasthan, Ajmer, 305 817, India

    Amit Sharma & Manish Dev Shrimali

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  1. Manish Yadav
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  2. Amit Sharma
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Correspondence to Manish Dev Shrimali.

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Yadav, M., Sharma, A., Shrimali, M.D. et al. Revival of oscillations via common environment. Nonlinear Dyn 91, 2219–2225 (2018). https://doi.org/10.1007/s11071-017-4010-3

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  • DOI: https://doi.org/10.1007/s11071-017-4010-3

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