Torus-doubling bifurcations in four mutually coupled Chua´s circuits

Author

Zhong, Guo-Qun ; Wu, Chai Wah ; Chua, Leon O.

Author_Institution

Electron. Res. Lab., California Univ., Berkeley, CA, USA

Volume

45

Issue

2

fYear

1998

fDate

2/1/1998 12:00:00 AM

Firstpage

186

Lastpage

193

Abstract

Coupled oscillators are complicated high-dimensional dynamical systems. They can exhibit a wide variety of rich dynamics which could lead to novel applications in engineering. In this work we describe a torus-doubling phenomenon observed from four mutually coupled Chua´s circuits. The qualitative dynamical behavior of the coupled system is robust, yet the exact behavior is very sensitive to the initial conditions and the parameter values of the Chua´s circuits. We present numerical simulation results from the system model which are in good qualitative agreement with the experimental measurements

Keywords

Chua´s circuit; bifurcation; chaos; coupled circuits; nonlinear network analysis; oscillators; coupled oscillators; four mutually coupled Chua circuits; high-dimensional dynamical systems; initial conditions; numerical simulation; parameter values; torus-doubling bifurcations; Acoustical engineering; Bifurcation; Circuit synthesis; Coupling circuits; Laboratories; Mutual coupling; Numerical simulation; Oscillators; Robustness; Stability;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.661689

Filename

661689