| Presentation | 2004-07-16 Analysis of Global Dynamics in Neural Fields with Lyapunov Functional Shigeru Kubota, Kazuyuki Aihara, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We study global dynamics in neural fields by using Lyapunov functional. We prove that the attractor of network must be a steady state when the field length is finite and that the network cannot have limit cycle attractor when the field length is infinite. We also apply this Lyapunov functional to the analysis of dynamical changes in local excitation pattern olutions when the field has lateral-inhibitory connections. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Neural field / Global dynamics / Lyapunov functional / Local excitation pattern |
| Paper # | NLP2004-31 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2004/7/9(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) | Analysis of Global Dynamics in Neural Fields with Lyapunov Functional |
| Sub Title (in English) | |
| Keyword(1) | Neural field |
| Keyword(2) | Global dynamics |
| Keyword(3) | Lyapunov functional |
| Keyword(4) | Local excitation pattern |
| 1st Author's Name | Shigeru Kubota |
| 1st Author's Affiliation | Institute of Industrial Science, University of Tokyo() |
| 2nd Author's Name | Kazuyuki Aihara |
| 2nd Author's Affiliation | ERATO Aihara Complexity Modelling Project, JST |
| Date | 2004-07-16 |
| Paper # | NLP2004-31 |
| Volume (vol) | vol.104 |
| Number (no) | 197 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |