Presentation | 1995/11/17 Cascade of period doubling and Neimark-Sacker bifurcations Hiroyuki KITAJIMA, Hiroshi KAWAKAMI, |
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Abstract(in Japanese) | (See Japanese page) |
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. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | codimension two bifurcaftion / quasi-periodic solution / synchronization / oscillator |
Paper # | NLP95-77 |
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Committee | NLP |
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Conference Date | 1995/11/17(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Nonlinear Problems (NLP) |
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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 |
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