Title :
Mechanism for taming chaos by weak harmonic perturbations
Author :
Inaba, Naohiko ; Amua, T. Akahiv T ; Miyamichi, Juichi
Author_Institution :
Dept. of Inf. Sci., Utsunomiya Univ., Japan
Abstract :
Taming chaos by weak harmonic perturbations has been a hot topic in recent years. This paper is the first report which clarifies the mechanism for taming chaos theoretically. The model we consider in this paper is a forced Raleigh oscillator with a diode. To simplify analyses, we consider the degenerate case where the diode in the circuit operates as a switch. In this case, the governing equation of the circuit is represented by a constrained equation and the Poincare map is derived rigorously as a one-dimensional map. By the analysis of the Poincare map, we clarify that taming chaos occurs by a saddle node bifurcation
Keywords :
Poincare mapping; bifurcation; chaos generators; harmonics; nonlinear network analysis; oscillators; perturbation techniques; Poincare map; chaos; constrained equation; degenerate case; forced Raleigh oscillator; governing equation; one-dimensional map; saddle node bifurcation; weak harmonic perturbations; Bifurcation; Chaos; Circuit analysis; Differential equations; Diodes; Information science; Limit-cycles; Oscillators; Switches; Switching circuits;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.856269
