Title :
Analysis of border-collision bifurcation in a simple circuit
Author :
Kousaka, Takuji ; Kido, Takashi ; Ueta, Tetsushi ; Kawakami, Hiroshi ; Abe, Minoru
Author_Institution :
Fukuyama Univ., Hiroshima, Japan
Abstract :
This paper considers a system interrupted by own state and a periodic interval. We know this system has prospects of occurrence of border-collision bifurcation. To analyze properties of the dynamics, we derive a one-dimensional map explicitly. We show some theorems and the existence of regions of periodic solution within two-parameter space. Some theoretical results are verified by laboratory experiments
Keywords :
bifurcation; chaos; nonlinear dynamical systems; nonlinear network analysis; piecewise linear techniques; border-collision bifurcation; one-dimensional map; periodic interval; two-parameter space; Bifurcation; Capacitance-voltage characteristics; Circuits; Clocks; Laboratories; Piecewise linear techniques; Power electronics; Power system modeling; Switches; Vectors;
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.2000.856370
