DocumentCode
2828283
Title
Chaos in self-oscillatory circuits containing time delay
Author
Maruyama, Takashi ; Inaba, Naohiko ; Nishio, Yoshifumi ; Mori, Shinsaku
Author_Institution
Dept. of Electr. Eng., Keio Univ., Yokohama, Japan
fYear
1990
fDate
12-14 Aug 1990
Firstpage
1055
Abstract
An analysis is presented of chaos in two types of self-oscillatory circuits containing time delay. The governing equation of each circuit is described by second-order differential equation containing time delay. By using a mapping method, one can derive the one-dimensional Poincare map explicitly from each circuit, and the Poincare map is proved to have a positive Lyapunov number with computer assistances. Moreover, the proposed circuits are realized easily so that the theoretical results can be verified experimentally
Keywords
Lyapunov methods; chaos; circuit oscillations; delays; differential equations; equivalent circuits; nonlinear network analysis; chaos; mapping method; one-dimensional Poincare map; positive Lyapunov number; second-order differential equation; self-oscillatory circuits; time delay; Chaos; Delay effects; Difference equations; Differential equations; Information science; Nonlinear equations; Pulse circuits; Pulse generation; Switches; Switching circuits;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1990., Proceedings of the 33rd Midwest Symposium on
Conference_Location
Calgary, Alta.
Print_ISBN
0-7803-0081-5
Type
conf
DOI
10.1109/MWSCAS.1990.140906
Filename
140906
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