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
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;
Conference_Titel :
Circuits and Systems, 1990., Proceedings of the 33rd Midwest Symposium on
Conference_Location :
Calgary, Alta.
Print_ISBN :
0-7803-0081-5
DOI :
10.1109/MWSCAS.1990.140906
