Title
Multimode Chaos In Two Coupled Chaotic Oscillators With Hard Nonlinearities
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, the coexistence of four different modes of oscillations are observed from two coupled chaotic oscillators with hard nonlinearities by both of circuit experiments and computer calculations. 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. This phenomenon has not been reported yet, and we name this phenomenon as double-mode chaos. Finally, the beat frequency of the double-mode chaos is confirmed to be changed by varying the value of the coupling capacitor.
Year
Venue
Keywords
1994
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
chaotic circuit, hard nonlinearity, coupled oscillator, multimode oscillation
Field
DocType
Volume
Oscillation,Control theory,Computer science,Control of chaos,Electronic engineering,Exponential stability,Chaotic,Capacitive coupling,Stability theory,Synchronization of chaos,Bifurcation
Conference
E79A
Issue
ISSN
Citations 
2
0916-8508
2
PageRank 
References 
Authors
0.59
0
2
Name
Order
Citations
PageRank
Yoshifumi Nishio122971.08
Akio Ushida26924.16