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| Dynamical Analysis of a Class of Memristor Chaotic Systems |
| ZHOU Wenjing, ZHANG Fuchen, CHEN Xiusu, CHEN Song
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| a. School of Mathematics and Statistics; b. Chongqing Key Laboratory of Statistical Intelligent Computing and Monitoring, Chongqing Technology and Business University, Chongqing 400067, China |
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Abstract To find new chaotic systems in electronics and circuits, a new class of four-dimensional chaotic systems based on memristor elements are proposed in this paper. We study the nonlinear dynamical behaviors of this kind of chaotic system, and finds that this kind of system has dissipative property. At the same time, we reveal the bifurcation and chaos phenomenon of this four-dimensional chaotic system from the aspects of chaotic attractors, Poincare section, the Lyapunov exponent, initial value sensitivity and bifurcation diagram by using theoretical and numerical analysis methods. Moreover, we find that the system is sensitive to the parameters and the initial values. And the system has the characteristics of multistability of chaotic flows.
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Received: 27 December 2023
Published: 14 July 2026
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