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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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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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