Controlling Chaos in a Memristor Based Circuit Using a Twin-T Notch Filter

Author

Iu, H.H.C. ; Yu, D.S. ; Fitch, A.L. ; Sreeram, V. ; Chen, H.

Author_Institution

Sch. of Electr., Electron. & Comput. Eng., Univ. of Western Australia, Perth, WA, Australia

Volume

58

Issue

6

fYear

2011

fDate

6/1/2011 12:00:00 AM

Firstpage

1337

Lastpage

1344

Abstract

After the successful solid state implementation of memristors, a lot of attention has been drawn to the study of memristor based chaotic circuits. In this paper, a systematic study of chaotic behavior in such system is performed with the help of nonlinear tools such as bifurcation diagrams, power spectrum analysis, and Lyapunov exponents. In particular, a Twin-T notch filter feedback controller is designed and employed to control the chaotic behavior in the memristor based chaotic circuit. Both simulation and experiment results validate the proposed control method.

Keywords

Lyapunov methods; bifurcation; chaos; circuit feedback; memristors; nonlinear filters; notch filters; spectral analysis; Lyapunov exponents; bifurcation diagrams; chaotic behavior; controlling chaos; memristor based chaotic circuits; memristor based circuit; nonlinear tools; power spectrum analysis; solid state implementation; twin-T notch filter feedback controller; Bifurcation; Chaotic communication; Mathematical model; Memristors; Power harmonic filters; Bifurcation diagram; Lyapunov exponents; chaos; memristor; nonlinear circuit; notch filter; power spectrum;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2010.2097771

Filename

5688203