| Presentation | 2012-04-19 Bifurcation of chaos and inter-spike-interval distribution of a simple spiking oscillator Tadashi TSUBONE, Takahiro AOKI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this study, we focus on a spike oscillator with chaotic motion governed by piecewise-constant vector field. The spike oscillator exhibits bifurcation of chaos such that structure of chaotic attractors transform depending on parameters. The dynamics of the oscillator can be reduced to 1-D embedded return map and the bifurcation of chaos is referred to distinguishing phenomena called by "Island" which is chaos whose support of invariant measure is union of divided subintervals in domain of the return map. On the other hand, the oscillator generates various chaotic spike train. Focusing on the spike train, the distribution spectrum of inter-spike-intervals undergo a characteristic change depending on parameters, that is, bifurcation of distribution is observed. This paper derives a existence region of Island rigorously and show the bifurcation set of chaos on parameter space analytically. Also we clarify the relationship between bifurcation of chaos and one of distribution of inter-spike-interval, and provide almost complete analysis of bifurcation of distribution spectrum. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Spike Oscillator / bifurcation of chaos / inter-spike-interval / piecewise-constant system |
| Paper # | NLP2012-9 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2012/4/12(1days) |
| Place (in Japanese) | (See Japanese page) |
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| 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) | Bifurcation of chaos and inter-spike-interval distribution of a simple spiking oscillator |
| Sub Title (in English) | |
| Keyword(1) | Spike Oscillator |
| Keyword(2) | bifurcation of chaos |
| Keyword(3) | inter-spike-interval |
| Keyword(4) | piecewise-constant system |
| 1st Author's Name | Tadashi TSUBONE |
| 1st Author's Affiliation | Nagaoka University of Technology() |
| 2nd Author's Name | Takahiro AOKI |
| 2nd Author's Affiliation | Nagaoka University of Technology |
| Date | 2012-04-19 |
| Paper # | NLP2012-9 |
| Volume (vol) | vol.112 |
| Number (no) | 6 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |