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Mathematics 2019, 7(1), 94; https://doi.org/10.3390/math7010094

A New Family of Chaotic Systems with Different Closed Curve Equilibrium

1
School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China
2
Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
*
Author to whom correspondence should be addressed.
Received: 23 December 2018 / Revised: 14 January 2019 / Accepted: 14 January 2019 / Published: 17 January 2019
(This article belongs to the Special Issue Fixed Point Theory and Dynamical Systems with Applications)
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Abstract

Chaotic systems with hidden attractors, infinite number of equilibrium points and different closed curve equilibrium have received much attention in the past six years. In this work, we introduce a new family of chaotic systems with different closed curve equilibrium. Using the methods of equilibrium points, phase portraits, maximal Lyapunov exponents, Kaplan–Yorke dimension, and eigenvalues, we analyze the dynamical properties of the proposed systems and extend the general knowledge of such systems. View Full-Text
Keywords: chaotic system; hidden attractor; eigenvalue; equilibrium; maximal Lyapunov exponents; Kaplan–Yorke dimension chaotic system; hidden attractor; eigenvalue; equilibrium; maximal Lyapunov exponents; Kaplan–Yorke dimension
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Zhu, X.; Du, W.-S. A New Family of Chaotic Systems with Different Closed Curve Equilibrium. Mathematics 2019, 7, 94.

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