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Quantifying strange property of attractors in quasiperiodically forced systems

Author

Listed:
  • Li, Gaolei
  • Li, Denghui
  • Wang, Chen
  • Yue, Yuan
  • Wen, Guilin
  • Grebogi, Celso

Abstract

Quasiperiodically forced systems are an important class of dynamical systems exhibiting quasiperiodic, strange nonchaotic, and chaotic attractors. A major concern is the identification of the parameter range in which each one of the attractors is present. In this work, based on the phase sensitivity proposed by Pikovsky and Feudel, we define a measure to quantitatively distinguish quasiperiodic attractors, strange nonchaotic attractors, and chaotic attractors. Particularly, we can determine the boundary points of these three attractors in parameter space. The reliability of this measure is verified in smooth and non-smooth systems.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:633:y:2024:i:c:s037843712300972x
    DOI: 10.1016/j.physa.2023.129417
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    References listed on IDEAS

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    1. 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.
    2. Gaolei Li & Yuan Yue & Celso Grebogi & Denghui Li & Jianhua Xie, 2022. "Strange Nonchaotic Attractors In A Periodically Forced Piecewise Linear System With Noise," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-11, February.
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