The successive occurrence of torus doubling

Author

Sekikawa, Munehisa ; Miyoshi, Takanori ; Inaba, Naohiko

Author_Institution

Dept. of Inf. Sci., Utsunomiya Univ., Japan

Volume

1

fYear

2000

fDate

2000

Firstpage

719

Abstract

In this paper, we analyze electric circuits which exhibits torus doubling route to chaos. Though some researchers insisted that torus doubling occurs finite times, we show that the successive occurrence of torus doubling, which is named “swollen shape type bifurcation,” is observed in a certain region. This phenomenon is very delicate, and being observed in a laboratory experiment is interesting. In addition, a coupled system of a logistic map and a sin circle map is proposed as the simplest model which can explain the mechanism of torus doubling. In addition the swollen shape type bifurcation occurs in this system

Keywords

bifurcation; chaos; circuit stability; nonlinear network analysis; piecewise linear techniques; coupled system; electric circuits; logistic map; piecewise linear system; route to chaos; sin circle map; successive occurrence; swollen shape type bifurcation; torus doubling; Bifurcation; Chaos; Circuit analysis; Coupling circuits; Frequency; Information analysis; Information science; Laboratories; Logistics; Shape;

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.2000.857196

Filename

857196