Multistability in a Circulant Dynamical System

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Communications in Advanced Mathematical Sciences
Volume:6 Issue:2
Multistability in a Circulant Dynamical System

Multistability in a Circulant Dynamical System

Pages : 98-103

View : 40 | Download : 18

Publication Date : 2023-06-30

Article Type : Research Paper

Abstract :In this paper we report on a two parameter four-dimensional dynamical system with cyclic symmetry, namely a circulant dynamical system. This system is a twelve-term polynomial system with four cubic nonlinearities. Reported are some parameter-space diagrams for this system, all of them considering the same range of parameters, but generated from different initial conditions. We show that such diagrams display the occurrence of multistability in this system. Properly generated bifurcation diagrams confirm this finding. Basins of attraction of coexisting attractors in the related phase-space are presented, as well as an example showing phase portraits for periodic and chaotic coexisting attractors.
Keywords : Basin of attraction, Circulant dynamical system, Multistability, Parameter space

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