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
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