A novel simple chaotic circuit based on memristor–memcapacitor

In this paper, we focus on a novel simple chaotic circuit with a memristor, a memcapacitor and a linear inductor in parallel. Then we establish the circuit’s dimensionless mathematical model. Nineteen types of different chaotic attractors are found in the circuit. The chaotic system’s equilibrium po...

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Bibliographic Details
Published inNonlinear dynamics Vol. 100; no. 3; pp. 2859 - 2876
Main Authors Ma, Xujiong, Mou, Jun, Liu, Jian, Ma, Chenguang, Yang, Feifei, Zhao, Xiu
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.05.2020
Springer Nature B.V
Subjects
Automotive Engineering
Chaos theory
Circuits
Classical Mechanics
Computer simulation
Control
Dynamic stability
Dynamical Systems
Engineering
Mechanical Engineering
Memristors
Original Paper
Stability analysis
Vibration
DSP implement
Simple chaotic circuit
State transition
Coexisting attractors
Memcapacitor and memristor
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Summary:In this paper, we focus on a novel simple chaotic circuit with a memristor, a memcapacitor and a linear inductor in parallel. Then we establish the circuit’s dimensionless mathematical model. Nineteen types of different chaotic attractors are found in the circuit. The chaotic system’s equilibrium point and stability are analyzed by using the traditional dynamic analysis methods, and the dynamical behaviors with three varying parameters of this circuit are analyzed in detail. Furthermore, some special phenomena such as state transition, chaos degradation and the multiple coexisting attractors are discovered. Finally, we implement this circuit through the DSP platform and the results illustrate the validity of the theoretical analysis. Theoretical analysis and simulation results indicate that the simple chaotic circuit has very rich dynamical characteristics.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-020-05601-x