DocumentCode :
1196680
Title :
Chaos via torus breakdown
Author :
Matsumoto, Takashi ; Chua, Leon O. ; Tokunaga, Ryuji
Volume :
34
Issue :
3
fYear :
1987
fDate :
3/1/1987 12:00:00 AM
Firstpage :
240
Lastpage :
253
Abstract :
Chaos has been observed from a four-element autonomous circuit whose only nonlinear element is a two-terminal resistor characterized by a three-segment piecewise-linear 
characteristic. Both laboratory measurements and computer simulations have confirmed the chaotic behavior to have resulted from the breakdown of a "quasi-periodic" attractor (torus) into a "folded torus." A two-parameter bifurcation diagram is carefully constructed to predict and explain various observed bifurcation phenomena, such as rotation number, devil\´s staircase, and Arnold tongue.
characteristic. Both laboratory measurements and computer simulations have confirmed the chaotic behavior to have resulted from the breakdown of a "quasi-periodic" attractor (torus) into a "folded torus." A two-parameter bifurcation diagram is carefully constructed to predict and explain various observed bifurcation phenomena, such as rotation number, devil\´s staircase, and Arnold tongue.Keywords :
Chaos; Nonlinear circuits and systems; Bifurcation; Breakdown voltage; Capacitance; Chaos; Circuits; Electric breakdown; Piecewise linear techniques; Resistors; Rotation measurement; Tongue;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1987.1086135
Filename :
1086135
Link To Document :
