Period-Doubling Route to Chaos and Intermittency in a Hybrid R\'ossler Model

Autor:	Fen, Mehmet Onur, Fen, Fatma Tokmak
Rok vydání:	2023
Předmět:	Nonlinear Sciences - Chaotic Dynamics Mathematics - Dynamical Systems 34C28 34A38
Druh dokumentu:	Working Paper
Popis:	A R\"ossler 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 R\"ossler systems are also shown. Our results reveal that discontinuous perturbations are capable of generating continuous chaos. Comment: 13 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.11655 Zobrazit plný text záznamu View this record from Arxiv