Period-Doubling Route to Chaos and Intermittency in a Hybrid Rössler Model

2023/08/20 by Fen, Mehmet Onur, Fen, Fatma Tokmak
#34A38 #34C28 #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences

paper · doi:10.48550/arxiv.2308.11655

Abstract

A Rössler model perturbed with a piecewise constant function is investigated. The perturbation function used in the model is constructed by means of the logistic map. In the absence of the perturbation the system is assumed to possess two equilibrium points one of which is linearly stable. The occurrences of period-doubling cascade and intermittency are numerically investigated. Extensions of the aforementioned phenomena among coupled Rössler systems are also shown. Our results reveal that discontinuous perturbations are capable of generating continuous chaos.

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