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Recent new examples of hidden attractors

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Abstract

Hidden attractors represent a new interesting topic in the chaos literature. These attractors have a basin of attraction that does not intersect with small neighborhoods of any equilibrium points. Oscillations in dynamical systems can be easily localized numerically if initial conditions from its open neighborhood lead to a long-time oscillation. This paper reviews several types of new rare chaotic flows with hidden attractors. These flows are divided into to three main groups: rare flows with no equilibrium, rare flows with a line of equilibrium points, and rare flows with a stable equilibrium. In addition we describe a novel system containing hidden attractors.

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Authors and Affiliations

  1. Biomedical Engineering Department, Amirkabir University of Technology, Tehran, 15875-4413, Iran

    S. Jafari & F. Nazarimehr

  2. Department of Physics, University of Wisconsin, Madison, WI, 53706, USA

    J. C. Sprott

Authors
  1. S. Jafari
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  2. J. C. Sprott
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  3. F. Nazarimehr
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Correspondence to S. Jafari.

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Jafari, S., Sprott, J.C. & Nazarimehr, F. Recent new examples of hidden attractors. Eur. Phys. J. Spec. Top. 224, 1469–1476 (2015). https://doi.org/10.1140/epjst/e2015-02472-1

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  • DOI: https://doi.org/10.1140/epjst/e2015-02472-1

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