Chaotic behaviour in a three element memristor based circuit using fourth order polynomial and PWL nonlinearity

Author

McCullough, Marc H. ; Iu, Herbert H. C. ; Muthuswamy, Bharathwaj

Author_Institution

Sch. of Electr., Univ. of Western Australia, Crawley, WA, Australia

fYear

2013

fDate

19-23 May 2013

Firstpage

2743

Lastpage

2746

Abstract

This work presents a comparative study of two new chaotic systems obtained from a LCM (inductor-capacitor-memristor) chaotic circuit. We use a fourth order polynomial and piecewise linear nonlinearities for the memristance functions. These systems have only one equilibrium point and use only three fundamental circuit elements, nevertheless, they still generate 2-scroll and 4-scroll attractors. Chaotic behavior is illustrated using phase portraits, bifurcation diagrams and Lyapunov exponent spectra, revealing several chaotic attractors and notably similar dynamical behavior in both systems.

Keywords

Lyapunov matrix equations; bifurcation; chaos; memristors; nonlinear functions; piecewise linear techniques; polynomials; 2-scroll attractors; 4-scroll attractors; LCM chaotic circuit; Lyapunov exponent spectra; bifurcation diagrams; chaotic behavior; fourth order polynomial; inductor-capacitor-memristor; phase portraits; piecewise linear nonlinearities; three element memristor based circuit; Approximation methods; Bifurcation; Chaos; Limit-cycles; Memristors; Polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems (ISCAS), 2013 IEEE International Symposium on

Conference_Location

Beijing

ISSN

0271-4302

Print_ISBN

978-1-4673-5760-9

Type

conf

DOI

10.1109/ISCAS.2013.6572446

Filename

6572446