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A chaotic map with infinite number of equilibria in a bounded domain

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Abstract

Although chaotic flows with special properties in their equilibria have been investigated widely, such an effort about chaotic maps has been neglected. In this note, we introduce a dynamical map with an infinite number of equilibrium points. Such a system doesn’t exist in the literature. A complete dynamical analysis is done on this new map which reveals its rich potential in showing chaos and multi-stability.

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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 & Huaigu Tian

  2. Ministry of Higher Education and Scientific Research, Baghdad, Iraq

    Abdul Jalil M. Khalaf

  3. NAAM Research Group, King Abdulaziz, University of Jeddah, Jeddah, Saudi Arabia

    Ahmed Alsaedi & Tasawar Hayat

  4. Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan

    Tasawar Hayat

Authors
  1. Zhen Wang
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  2. Abdul Jalil M. Khalaf
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  3. Huaigu Tian
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  4. Ahmed Alsaedi
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  5. Tasawar Hayat
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Correspondence to Zhen Wang.

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Wang, Z., Khalaf, A.J.M., Tian, H. et al. A chaotic map with infinite number of equilibria in a bounded domain. Eur. Phys. J. Spec. Top. 229, 1109–1116 (2020). https://doi.org/10.1140/epjst/e2020-900172-0

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  • DOI: https://doi.org/10.1140/epjst/e2020-900172-0

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