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On a family of maps with multiple chaotic attractors

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  • Richter, Hendrik

Abstract

Multistability is characterized by the occurrence of multiple coexisting attractors. We introduce a family of maps that possess this property and in particular exhibits coexisting chaotic attractors. In this family not only the maps’ parameters can be varied but also their dimension. So, four types of multistable attractors, equilibria, periodic orbits, quasi-periodic orbits and chaotic attractors can be found for a given dimension.

Suggested Citation

  • Richter, Hendrik, 2008. "On a family of maps with multiple chaotic attractors," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 559-571.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:3:p:559-571
    DOI: 10.1016/j.chaos.2007.07.089
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    1. Zhang, Lei & Yi, Zhang, 2007. "Dynamical properties of background neural networks with uniform firing rate and background input," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 979-985.
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