On a family of maps with multiple chaotic attractors

Hendrik Richter

Chaos, Solitons & Fractals, 2008, vol. 36, issue 3, 559-571

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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:3:p:559-571

DOI: 10.1016/j.chaos.2007.07.089

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