Title :
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
fDate :
6/1/2011 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2010.2097771