Presentation 1998/2/6
A Mechanism of the Generation of Chaotic Oscillations in a Modified BVP Equation and its Forced System
K Tsumoto, T Yoshinaga, H Kawakami,
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Abstract(in English) In this report, we study bifurcations of periodic solutions in a modified BVP equation and its forced system. We investigate a mechanism of the generation of oscillatory phenomena in the autonomous system. We show that the winding number of limit cycle monotonously increases by a homoclinic orbit chain. Futhermore we consider the firing rate of attracting wave forms observed in the system. By calculating bifurcation of the forced system, we show that there is a universal pattern variation in qualitative wave forms of stable oscillations.
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Keyword(in English) homoclinic chain / homoclinic orbit / limit cycle / bifurcation / nonlinear circuit
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Committee NC
Conference Date 1998/2/6(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) A Mechanism of the Generation of Chaotic Oscillations in a Modified BVP Equation and its Forced System
Sub Title (in English)
Keyword(1) homoclinic chain
Keyword(2) homoclinic orbit
Keyword(3) limit cycle
Keyword(4) bifurcation
Keyword(5) nonlinear circuit
1st Author's Name K Tsumoto
1st Author's Affiliation Faculty of Engineering, the University of Tokushima()
2nd Author's Name T Yoshinaga
2nd Author's Affiliation Faculty of Engineering, the University of Tokushima
3rd Author's Name H Kawakami
3rd Author's Affiliation Faculty of Engineering, the University of Tokushima
Date 1998/2/6
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Volume (vol) vol.97
Number (no) 533
Page pp.pp.-
#Pages 8
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