Title :
The successive occurrence of torus doubling
Author :
Sekikawa, Munehisa ; Miyoshi, Takanori ; Inaba, Naohiko
Author_Institution :
Dept. of Inf. Sci., Utsunomiya Univ., Japan
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;
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.2000.857196
