Chaotic circuit family with a diode due to the change of the oscillation frequency

Author

Inaba, Naohiko ; Saito, Toshimichi

Author_Institution

Fac. of Eng., Utsunomiya Univ., Japan

fYear

1991

fDate

11-14 Jun 1991

Firstpage

2877

Abstract

Physical mechanisms of chaos are explained in terms of the change of the oscillation frequency. The system is a third order autonomous RLC circuit family including a type of nonlinear inductor which consists of one diode and two linear inductors. The circuit equation of this family is given by two linear second order equations whose oscillation frequencies are considerably different, and these two equations are connected to each other by the switching operation of the diode. It is clarified that the switchover of these oscillation frequencies causes a folding mechanism. Moreover, the Poincare map is derived strictly as a one-dimensional mapping, thereby explaining the generation of chaos

Keywords

chaos; circuit oscillations; nonlinear network analysis; switching; Poincare map; autonomous RLC circuit; chaos generation; circuit equation; diode; folding mechanism; frequency change; linear second order equations; nonlinear inductor; one-dimensional mapping; oscillation frequency; switching operation; third order; Chaos; Diodes; Frequency; Inductance; Inductors; Niobium; Nonlinear equations; Nonlinear systems; RLC circuits; Switching circuits;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1991., IEEE International Sympoisum on

Print_ISBN

0-7803-0050-5

Type

conf

DOI

10.1109/ISCAS.1991.176145

Filename

176145