DocumentCode :
3074835
Title :
Bifurcation analysis in hybrid nonlinear dynamical systems
Author :
Kousaka, T. ; Matsumoto, M. ; Ueta, T. ; Kawakami, H. ; Abe, M.
Author_Institution :
Fukuyama Univ., Japan
Volume :
3
fYear :
2001
fDate :
6-9 May 2001
Firstpage :
281
Abstract :
In this paper, we investigate the bifurcation phenomena in the nonlinear dynamical system switched by a threshold of the state or a periodic interrupt. First, we propose a method to trace the bifurcation sets for above system. We derive the composite discrete mapping as Poincare mapping. As a result, it is possible to obtain the local bifurcation values in the parameter plane. We also propose an efficient analyzing method for border-collision bifurcations. As an illustrated example, we investigate the behavior of the Rayleigh-type oscillator switched by a threshold of the state or a periodic interrupt. In this system, we can find many subharmonic bifurcation sets including global bifurcations and border collision. Some theoretical results are verified by laboratory experiments
Keywords :
Poincare mapping; bifurcation; nonlinear dynamical systems; Poincare mapping; Rayleigh oscillator; border collision bifurcation; composite discrete mapping; global bifurcation; hybrid nonlinear dynamical system; local bifurcation; periodic switching; subharmonic bifurcation; threshold switching; Bifurcation; Differential equations; Laboratories; Nonlinear dynamical systems; Nonlinear equations; Orbital calculations; Oscillators; Power electronics; State-space methods; Switches;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
Type :
conf
DOI :
10.1109/ISCAS.2001.921302
Filename :
921302
Link To Document :
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