Study on How to Design Simplest Chaotic Circuit with two Charge-controlled Memristors

Authors

Shuhua Wu, School of Physics and Electrical Information Engineering, Shijiazhuang University, Shijiazhuang 050035, China;
Xuwei Rong, School of Physics and Electrical Information Engineering, Shijiazhuang University, Shijiazhuang 050035, China;
Zhenyong Liu, School of Physics and Electrical Information Engineering, Shijiazhuang University, Shijiazhuang 050035, China;

Abstract

Abstract: A simplest five-order chaotic circuit is designed with two HP laboratory charge-controlled memristor models and its basic dynamic characteristics are studied using the conventional dynamic analysis method, through which its initial unstable oscillation is discovered and the initial oscillation process is recorded with the maximum Lyapunov exponent; the volt-ampere characteristic and the power output of the two memristors in the circuit are computed, indicating that the memristors are passive components; and the impacts of the inductance, capacitance and conductance to the circuit system are studied using the bifurcation diagram and the maximum Lyapunov exponent spectrum. In addition, the distribution of the maximum Lyapunov exponent and the state characteristics of the system in the dual-parameter space are computed and simulated so that the complicated dynamic behavior strike of the chaotic circuit under the function of two component parameters is achieved.

Recommended Citation

Wu, Shuhua; Rong, Xuwei; and Liu, Zhenyong (2019) "Study on How to Design Simplest Chaotic Circuit with two Charge-controlled Memristors," Journal of System Simulation: Vol. 30: Iss. 10, Article 46.
DOI: 10.16182/j.issn1004731x.joss.201810046
Available at: https://dc-china-simulation.researchcommons.org/journal/vol30/iss10/46

First Page

3985

Revised Date

2016-08-14

DOI Link

https://doi.org/10.16182/j.issn1004731x.joss.201810046

Last Page

3995

CLC

TP273+.4A

Recommended Citation

Wu Shuhua, Rong Xuwei, Liu Zhenyong. Study on How to Design Simplest Chaotic Circuit with two Charge-controlled Memristors[J]. Journal of System Simulation, 2018, 30(10): 3985-3995.

Corresponding Author

Shuhua Wu,

DOI

10.16182/j.issn1004731x.joss.201810046