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Emergence of order from chaos: A phenomenological model of coupled oscillators

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  • Ghosh, Anupam
  • Sujith, R.I.

Abstract

This paper aims to study the transition to order from chaos using a mathematical model of coupled non-identical oscillators. In the course of our analysis, we adopt a different control parameter other than the conventional parameters: coupling strength and frequency-mismatch, generally used in literature to obtain the aforementioned transition. Both the interacting oscillators become periodic, and they lead to the synchronized state as the control parameter changes monotonically. Initially, the participating oscillators, with low amplitude of oscillations, are in the chaotic desynchronized state. Besides, during the periodic oscillations, the oscillators exhibit high amplitude of oscillations. We illustrate the corresponding results using two examples of coupled oscillators. Such emergence of order from chaos with an accompanying increase in amplitude is ascertained in various numerical simulations and experimental observations.

Suggested Citation

  • Ghosh, Anupam & Sujith, R.I., 2020. "Emergence of order from chaos: A phenomenological model of coupled oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307293
    DOI: 10.1016/j.chaos.2020.110334
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    1. Anupam Ghosh & Sagar Chakraborty, 2020. "Comprehending deterministic and stochastic occasional uncoupling induced synchronizations through each other," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(6), pages 1-14, June.
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    Cited by:

    1. Wu, Yonggang & Zheng, Zhigang & Tang, Longkun & Xu, Can, 2022. "Synchronization dynamics of phase oscillator populations with generalized heterogeneous coupling," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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