Title :
Multimode chaos in two coupled chaotic oscillators with hard nonlinearities
Author :
Nishio, Yoshifumi ; Ushida, Akio
Author_Institution :
Dept. of Electr. & Electron. Eng., Tokushima Univ., Japan
fDate :
30 May-2 Jun 1994
Abstract :
In this study, multimode chaos observed from two coupled chaotic oscillators with hard nonlinearities is investigated. At first, a simple chaotic oscillator with hard nonlinearities is realized. It is confirmed that in this chaotic oscillator the origin is always asymptotically stable and that the solution, which is excited by giving relatively large initial conditions, undergoes period-doubling bifurcations and bifurcates to chaos. Next, four different modes of oscillations are observed from two coupled chaotic oscillators with hard nonlinearities by both computer calculations and circuit experiments. One of the modes of oscillation is a nonresonant double-mode oscillation and this oscillation is stably generated even in the case that oscillation is chaotic. Namely, for this oscillation mode, chaotic oscillation and periodic oscillation can be simultaneously excited. We call this phenomena double-mode chaos. Finally, the beat frequency of the double-mode chaos is confirmed to be changed by tuning the value of the coupling capacitor
Keywords :
asymptotic stability; bifurcation; chaos; circuit stability; coupled circuits; nonlinear network analysis; variable-frequency oscillators; asymptotically stable; beat frequency; chaotic oscillation; coupled chaotic oscillators; double-mode chaos; hard nonlinearities; multimode chaos; nonresonant double-mode oscillation; period-doubling bifurcations; periodic oscillation; tuning; Bifurcation; Capacitors; Chaos; Coupling circuits; Frequency synchronization; Inductors; Mutual coupling; Oscillators; Resistors; Tuning;
Conference_Titel :
Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on
Conference_Location :
London
Print_ISBN :
0-7803-1915-X
DOI :
10.1109/ISCAS.1994.409538
