DocumentCode
2232300
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
Volume
2
fYear
2000
fDate
2000
Firstpage
481
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;
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.2000.856370
Filename
856370
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