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Suppression of oscillations in mean-field diffusion

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Abstract

We study the role of mean-field diffusive coupling on suppression of oscillations for systems of limit cycle oscillators. We show that this coupling scheme not only induces amplitude death (AD) but also oscillation death (OD) in coupled identical systems. The suppression of oscillations in the parameter space crucially depends on the value of mean-field diffusion parameter. It is also found that the transition from oscillatory solutions to OD in conjugate coupling case is different from the case when the coupling is through similar variable. We rationalize our study using linear stability analysis.

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Acknowledgement

Authors thank DST, Government of India for financial support.

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Authors and Affiliations

  1. The Institute of Mathematical Sciences, CIT Campus, Chennai, 600 113, India

    NEERAJ KUMAR KAMAL

  2. The LNM Institute of Information Technology, Jaipur, 302 031, India

    POOJA RANI SHARMA

  3. Department of Physics, Central University of Rajasthan, Ajmer, 305 801, India

    NEERAJ KUMAR KAMAL, POOJA RANI SHARMA & MANISH DEV SHRIMALI

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  1. NEERAJ KUMAR KAMAL
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KAMAL, N.K., SHARMA, P.R. & DEV SHRIMALI, M. Suppression of oscillations in mean-field diffusion. Pramana - J Phys 84, 237–247 (2015). https://doi.org/10.1007/s12043-015-0929-4

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