| Presentation | 2009-08-04 Bifurcation and Basin of Oscillatory Responses Observed in a Discrete-Time Chaotic Neural Network Mio MUSASHI, Ken'ichi FUJIMOTO, Tetsuya YOSHINAGA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We have proposed a discrete-time dynamical system consisting of a global inhibitor and chaotic neurons that can generate oscillatory responses with high order of period. Each chaotic neuron has a direct current (DC) input. The dynamical system of chaotic neurons with only the same values of DC inputs becomes symmetric. Through analyzing bifurcation phenomena of periodic points observed in two- or three-coupled system of chaotic neurons and a global inhibitor, we elucidated the generating mechanisms of periodic points in symmetric or asymmetric dynamical systems. In this report, we treat a three-coupled system and study basin of stable periodic points for several values of DC inputs to each chaotic neuron. The results give significant information for designing parameters of a dynamic image segmentation system using our coupled system. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | coupled system of chaotic neurons / discrete-time dynamical system / oscillatory response / bifurcation / basin of attractor |
| Paper # | NLP2009-56 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2009/7/27(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| 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 and Basin of Oscillatory Responses Observed in a Discrete-Time Chaotic Neural Network |
| Sub Title (in English) | |
| Keyword(1) | coupled system of chaotic neurons |
| Keyword(2) | discrete-time dynamical system |
| Keyword(3) | oscillatory response |
| Keyword(4) | bifurcation |
| Keyword(5) | basin of attractor |
| 1st Author's Name | Mio MUSASHI |
| 1st Author's Affiliation | Graduate School of Health Sciences, The University of Tokushima() |
| 2nd Author's Name | Ken'ichi FUJIMOTO |
| 2nd Author's Affiliation | Institute of Health Biosciences, The University of Tokushima |
| 3rd Author's Name | Tetsuya YOSHINAGA |
| 3rd Author's Affiliation | Institute of Health Biosciences, The University of Tokushima |
| Date | 2009-08-04 |
| Paper # | NLP2009-56 |
| Volume (vol) | vol.109 |
| Number (no) | 167 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |