Presentation 1995/11/17
Cascade of period doubling and Neimark-Sacker bifurcations
Hiroyuki KITAJIMA, Hiroshi KAWAKAMI,
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Abstract(in English) We obtained bifurcation sets of periodic solutions observed in forced Duffing-Rayleigh oscillator by numerical analysis. The bifurcation sets show the parameter region in which chaotic states exist after successive intersections of Neimark-Sacker and period doubling bifurcations. We found that an unstable or a stable quasi-periodic solution generated by the Neimark-Sacker bifurcation disappears alternatively. We also show the various subharmonic synchronizations near the Neimark-Sacker bifurcation.
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Keyword(in English) codimension two bifurcaftion / quasi-periodic solution / synchronization / oscillator
Paper # NLP95-77
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Conference Information
Committee NLP
Conference Date 1995/11/17(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Cascade of period doubling and Neimark-Sacker bifurcations
Sub Title (in English)
Keyword(1) codimension two bifurcaftion
Keyword(2) quasi-periodic solution
Keyword(3) synchronization
Keyword(4) oscillator
1st Author's Name Hiroyuki KITAJIMA
1st Author's Affiliation Faculty of Engineering, The University of Tokushima()
2nd Author's Name Hiroshi KAWAKAMI
2nd Author's Affiliation Faculty of Engineering, The University of Tokushima
Date 1995/11/17
Paper # NLP95-77
Volume (vol) vol.95
Number (no) 368
Page pp.pp.-
#Pages 8
Date of Issue