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Chaotic flows with special equilibria

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Abstract

In this review, we categorize chaotic systems with special properties in their equilibrium into eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE), systems with line equilibrium (LE), systems with curve equilibrium (CE), systems with plane equilibrium (PE), systems with surface equilibrium (ES), systems with unstable equilibrium (US), and systems which belong to more than one of the above categories (Chameleon systems). We introduce the pioneer works from each group. Also, we review some recent important papers related to those groups.

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Authors and Affiliations

  1. Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an, 710123, P.R. China

    Zhen Wang

  2. School of Mathematics and Physics, China University of Geosciences, Hubei, Wuhan, 430074, P.R. China

    Zhouchao Wei

  3. School of Physics and Electronics, Central South University, 410083, Changsha, P.R. China

    Kehui Sun, Shaobo He & Huihai Wang

  4. School of Information Science and Engineering, Changzhou University, Changzhou, 213164, P.R. China

    Quan Xu & Mo Chen

Authors
  1. Zhen Wang
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  2. Zhouchao Wei
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  3. Kehui Sun
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  4. Shaobo He
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  5. Huihai Wang
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  7. Mo Chen
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Correspondence to Zhen Wang.

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Wang, Z., Wei, Z., Sun, K. et al. Chaotic flows with special equilibria. Eur. Phys. J. Spec. Top. 229, 905–919 (2020). https://doi.org/10.1140/epjst/e2020-900239-2

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