Hyperchaotic Behavior in the Novel Memristor-Based Symmetric Circuit System

A novel five-dimensional (5D) memristor-based symmetric circuit, which consists of two symmetric capacitors, two symmetric inductors and only one memristor is presented in this article. The multivariable first order and multivariable second order polynomial functions are used for the internal state...

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Bibliographic Details
Published inIEEE access Vol. 8; pp. 151535 - 151545
Main Authors Teng, Lin, Wang, Xingyuan, Ye, Xiaolin
Format Journal Article
LanguageEnglish
Published Piscataway The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
IEEE
Subjects
Bifurcations
Chaos attractor
Chaos theory
Circuits
Functions (mathematics)
Health services utilization
hyperchaotic attractor
Inductors
Liapunov exponents
Mathematical analysis
memristor
Memristors
Polynomials
second order internal state
symmetric circuit
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Summary:A novel five-dimensional (5D) memristor-based symmetric circuit, which consists of two symmetric capacitors, two symmetric inductors and only one memristor is presented in this article. The multivariable first order and multivariable second order polynomial functions are used for the internal state function of the memristor respectively. Theoretical and simulation analyses of the novel memristive circuit are investigated using equilibrium points, phase portraits, bifurcation diagrams and Lyapunov exponent spectra, etc. Complex chaotic behaviors are observed and analyzed through simulation results. The first order internal state function memristor-based symmetric circuit system can only exhibit chaotic behavior whereas the second order internal state function memristor-based symmetric circuit system can generate not only chaotic attractors, but also hyperchaotic attractors in proper parameters.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2020.3017159