| Presentation | 2010-03-09 Breakdown of Mixed-Mode Oscillations in a Slow-Fast Dynamical System Naohiko INABA, Tetsuya YOSHINAGA, Ken'ichi FUJIMOTO, Takashi TSUBOUCHI, Tetsuro ENDO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Mixed-mode oscillations in a slow-fast dynamical system under weak periodic perturbation are studied numerically. The mixed-mode oscillations break down into chaos by the extremely weak periodic perturbation. In order to clarify the mechanism of generation of chaos, we draw a bifurcation diagram. In this bifurcation diagram, period-doubling bifurcations take place when the amplitude of the periodic perturbation is extremely small. We suspect the observability of the mixed-mode oscillation of the slow-fast dynamical system by experiment from this numerical result. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | mixed-mode oscillation / chaos |
| Paper # | NLP2009-165 |
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| Committee | NLP |
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| Conference Date | 2010/3/2(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (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) | Breakdown of Mixed-Mode Oscillations in a Slow-Fast Dynamical System |
| Sub Title (in English) | |
| Keyword(1) | mixed-mode oscillation |
| Keyword(2) | chaos |
| 1st Author's Name | Naohiko INABA |
| 1st Author's Affiliation | Inaba Research Laboratory() |
| 2nd Author's Name | Tetsuya YOSHINAGA |
| 2nd Author's Affiliation | Institute of Health Biosciences, The University of Tokushima |
| 3rd Author's Name | Ken'ichi FUJIMOTO |
| 3rd Author's Affiliation | Institute of Health Biosciences, The University of Tokushima |
| 4th Author's Name | Takashi TSUBOUCHI |
| 4th Author's Affiliation | Graduate School of System and Information Engineering, University of Tsukuba |
| 5th Author's Name | Tetsuro ENDO |
| 5th Author's Affiliation | Department of Electronics and Bioinformatics, Meiji University |
| Date | 2010-03-09 |
| Paper # | NLP2009-165 |
| Volume (vol) | vol.109 |
| Number (no) | 458 |
| Page | pp.pp.- |
| #Pages | 4 |
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