New Chaotic Systems with Two Closed Curve Equilibrium Passing the Same Point: Chaotic Behavior, Bifurcations, and Synchronization

Autor:	Xinhe Zhu, Wei-Shih Du
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	chaos bifurcation closed curve equilibrium synchronization Mathematics QA1-939
Zdroj:	Symmetry, Vol 11, Iss 8, p 951 (2019)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym11080951
Popis:	In this work, we introduce a chaotic system with infinitely many equilibrium points laying on two closed curves passing the same point. The proposed system belongs to a class of systems with hidden attractors. The dynamical properties of the new system were investigated by means of phase portraits, equilibrium points, Poincaré section, bifurcation diagram, Kaplan−Yorke dimension, and Maximal Lyapunov exponents. The anti-synchronization of systems was obtained using the active control. This study broadens the current knowledge of systems with infinite equilibria.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d3a1e36254af4eacbd10361165be48be Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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