Title :
Chaotic phenomena in nonlinear circuits with time-varying resistors
Author :
Nishio, Yoshifumi ; Mori, Shinsaku
Author_Institution :
Dept. of Electr. Eng., Keio Univ., Yokohama, Japan
Abstract :
Four simple nonlinear circuits with time-varying resistors are analyzed. These circuits are a kind of parametric excitation circuit, and chaotic attractors are observed in three circuits. In order to analyze these circuits a degeneration technique is used, that is, diodes in the circuits are assumed to operate as ideal switches. Thereby the Poincare maps are derived as one-dimensional maps and chaotic phenomena are well explained. Moreover, the justifiability of the analyzing method is confirmed by circuit experiments
Keywords :
chaos; nonlinear network analysis; time-varying networks; Poincare maps; chaotic attractors; circuit experiments; degeneration technique; diodes; ideal switches; justifiability; nonlinear circuits; one-dimensional maps; parametric excitation circuit; time-varying resistors; Chaos; Circuit analysis; Diodes; Equations; Nonlinear circuits; Piecewise linear techniques; Resistors; Switches; Switching circuits; Time varying systems;
Conference_Titel :
Circuits and Systems, 1991., Proceedings of the 34th Midwest Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-0620-1
DOI :
10.1109/MWSCAS.1991.252126
