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Multistability in symmetric chaotic systems

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Abstract

Chaotic dynamical systems that are symmetric provide the possibility of multistability as well as an independent amplitude control parameter.The Rössler system is used as a candidate for demonstrating the symmetry construction since it is an asymmetric system with a single-scroll attractor. Through the design of symmetric Rössler systems, a symmetric pair of coexisting strange attractors are produced, along with the desired partial or total amplitude control.

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Authors and Affiliations

  1. School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    C. Li

  2. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    W. Hu & X. Wang

  3. Department of Physics, University of Wisconsin-Madison, Madison, WI, 53706, USA

    J. C. Sprott

Authors
  1. C. Li
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  2. W. Hu
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  3. J. C. Sprott
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  4. X. Wang
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Correspondence to C. Li.

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Li, C., Hu, W., Sprott, J.C. et al. Multistability in symmetric chaotic systems. Eur. Phys. J. Spec. Top. 224, 1493–1506 (2015). https://doi.org/10.1140/epjst/e2015-02475-x

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  • DOI: https://doi.org/10.1140/epjst/e2015-02475-x

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