| Presentation | 2002/8/27 Piecewise Linear Approximation of a Two-Dimensional Discrete-Time Chaotic Neuron Hiroto TANAKA, Toshimitsu USHIO, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It has been reported that a two-dimensional discrete-time chaotic neuron model exhibits bursting when Hopf bifurcations of 2-periodic points occur. In this report, we introduce a piecewise linear approximation of a logistic function so that global analysis of the piecewise linear neuron model become tractable. First, we derive a condition for Hopf bifurcation of the 2-periodic points. Next, we show that bursting is observed in the model. Finally, we calculate stable and unstable manifolds of fixed and 2-periodic points and show the existence of heteroclinic points. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | chaotic neuron / piecewise linear analysis / bursting / Hopf bifurcations / heteroclinic structure |
| Paper # | NLP2002-35 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2002/8/27(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) | Piecewise Linear Approximation of a Two-Dimensional Discrete-Time Chaotic Neuron |
| Sub Title (in English) | |
| Keyword(1) | chaotic neuron |
| Keyword(2) | piecewise linear analysis |
| Keyword(3) | bursting |
| Keyword(4) | Hopf bifurcations |
| Keyword(5) | heteroclinic structure |
| 1st Author's Name | Hiroto TANAKA |
| 1st Author's Affiliation | Graduate School of Engineering Science, Osaka University() |
| 2nd Author's Name | Toshimitsu USHIO |
| 2nd Author's Affiliation | Graduate School of Engineering Science, Osaka University |
| Date | 2002/8/27 |
| Paper # | NLP2002-35 |
| Volume (vol) | vol.102 |
| Number (no) | 297 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |