Presentation 2003/11/15
Coexistence and Collapse of Duck Solution Driven by Weak Periodic Perturbation
Munehisa SEKIKAWA, Naohiko INABA, Tetsuya YOSHINAGA, Hiroshi KAWAKAMI,
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Abstract(in English) The authors study the response of a circuit which generates the duck solution, where an extremely small periodic perturbation is applied. Bifurcation structures of fundamental harmonic entrainment, 1/2 subharmonic entrainment and 1/3 subharmonic entrainment are analyzed. Period doubling bifurcation is observed even if periodic perturbation is extremely small. Duck solution breaks down and chaos is generated by small perturbation. Coexistence of two duck solutions is also observed under the small perturbation.
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Keyword(in English) Nonlinear oscillation / duck solution / chaos
Paper # NLP2003-116
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Committee NLP
Conference Date 2003/11/15(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) Coexistence and Collapse of Duck Solution Driven by Weak Periodic Perturbation
Sub Title (in English)
Keyword(1) Nonlinear oscillation
Keyword(2) duck solution
Keyword(3) chaos
1st Author's Name Munehisa SEKIKAWA
1st Author's Affiliation Faculty of Engineering, Utsunomiya University()
2nd Author's Name Naohiko INABA
2nd Author's Affiliation Faculty of Engineering, Utsunomiya University
3rd Author's Name Tetsuya YOSHINAGA
3rd Author's Affiliation School of Health Sciences, the University of Tokushima
4th Author's Name Hiroshi KAWAKAMI
4th Author's Affiliation Faculty of Engineering, the University of Tokushima
Date 2003/11/15
Paper # NLP2003-116
Volume (vol) vol.103
Number (no) 464
Page pp.pp.-
#Pages 6
Date of Issue