Dynamical Analysis of a Novel Fractional-Order Chaotic System Based on Memcapacitor and Meminductor

• Published in: Fractal and fractional Vol. 6; no. 11; p. 671
• Main Authors: Liu, Xingce, Mou, Jun, Wang, Jue, Banerjee, Santo, Li, Peng
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.11.2022
• Subjects: Algorithms; Chaos theory; Circuits; coexistence of attractor; Decomposition; Digital signal processing; Dynamic characteristics; Dynamic stability; fractional chaotic system; Liapunov exponents; Mathematical models; memcapacitor; meminductor; Stability analysis; state transition
• ISSN: 2504-3110; 2504-3110
• DOI: 10.3390/fractalfract6110671

In this paper, a chaotic circuit based on a memcapacitor and meminductor is constructed, and its dynamic equation is obtained. Then, the mathematical model is obtained by normalization, and the system is decomposed and summed by an Adomian decomposition method (ADM) algorithm. So as to study the dynamic behavior in detail, not only the equilibrium stability of the system is analyzed, but also the dynamic characteristics are analyzed by means of a Bifurcation diagram and Lyapunov exponents (Les). By analyzing the dynamic behavior of the system, some special phenomena, such as the coexistence of attractor and state transition, are found in the system. In the end, the circuit implementation of the system is implemented on a Digital Signal Processing (DSP) platform. According to the numerical simulation results of the system, it is found that the system has abundant dynamical characteristics.