Presentation	2003/10/14 A consideration between conditions for oscillation in linear systems and Hopf bifurcation sets in nonlinear systems Tetsushi UETA, Hiroshi KAWAKAMI,
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Abstract(in English)	Linear analysis of singular points is very important and convenient to understand dynamical behavior in a given system. In this paper, we show the equivalence among an oscillating condition by phasor method, an design method of a oscillator based on the Barkhausen criterion, and Hopf bifurcation set in a given dynamical system. Obtained conditions may form manifolds (bifurcation curves or stability limits) in the parameter space. This might show a rich variety of their shape. As a demonstrated example, we show some bifurcation phenomena of bifurcation curves found in the extended BVP equation.
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Keyword(in English)	Hopf bifurcation / BVP oscillator / phasor method
Paper #	NLP2003-84
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Committee	NLP
Conference Date	2003/10/14(1days)
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Registration To	Nonlinear Problems (NLP)
Language	JPN
Title (in Japanese)	(See Japanese page)
Sub Title (in Japanese)	(See Japanese page)
Title (in English)	A consideration between conditions for oscillation in linear systems and Hopf bifurcation sets in nonlinear systems
Sub Title (in English)
Keyword(1)	Hopf bifurcation
Keyword(2)	BVP oscillator
Keyword(3)	phasor method
1st Author's Name	Tetsushi UETA
1st Author's Affiliation	Center for Advanced Information Technology, Tokushima University()
2nd Author's Name	Hiroshi KAWAKAMI
2nd Author's Affiliation	Dept. EE., Fac. Eng., Tokushima University
Date	2003/10/14
Paper #	NLP2003-84
Volume (vol)	vol.103
Number (no)	375
Page	pp.pp.-
#Pages	6
Date of Issue