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

Volume

2

fYear

2000

fDate

2000

Firstpage

104

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ISCAS.2000.856269

Filename

856269