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Strange nonchaotic attractors in oscillators sharing nonlinearity

Author

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  • M., Paul Asir
  • K., Murali
  • P., Philominathan

Abstract

We identified the plausibility of the existence of strange nonchaotic attractors (SNAs) in a model of two sinusoidal driven LCR dissipative oscillators sharing a common piecewise nonlinearity. The detected strange nonchaos has been assayed through numerical studies encompassing phase space analysis, Poincaré cross sections, Lyapunov exponents, etc., The strange nonchaotic nature of attractors was examined by recurrence quantification measure. Phase synchronization features of the attractors in the SNA regime have also been included. Experimental evidences have been furnished by means of a real-time electronic circuit to reinforce the observed results. It is expected that the outcomes of the present study could facilitate the understanding and the observation of SNAs in nonlinearly coupled networks, including small-world, scale-free networks and neuronal networks.

Suggested Citation

  • M., Paul Asir & K., Murali & P., Philominathan, 2019. "Strange nonchaotic attractors in oscillators sharing nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 83-93.
    • Handle: RePEc:eee:chsofr:v:118:y:2019:i:c:p:83-93
    DOI: 10.1016/j.chaos.2018.11.016
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    Cited by:

    1. Zhao, Yifan & Zhang, Yongxiang, 2023. "Border-collision bifurcation route to strange nonchaotic attractors in the piecewise linear normal form map," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    2. Li, Gaolei & Li, Denghui & Wang, Chen & Yue, Yuan & Wen, Guilin & Grebogi, Celso, 2024. "Quantifying strange property of attractors in quasiperiodically forced systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).

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