| Presentation | 1995/6/30 Critical states from a class of phase equations Hisa-Aki Tanaka, Shin'ichi Oishi, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The synchronization and desynchronization in mutually coupled oscillators have been studied from the importance in some practical applications as well as interests in nonlinear physics / neuro science. We consider and focus how the critical state between the synchronization and desynchronization can be characterized from the dynamical theoretic point of view. For a class of phase equations incorporating the inertial terms of each (phase) oscillation, such a critiality between the synchronization and desynchronization is explained by the appearenee of the homoclinic structure associated with the high dimensional saddle(-focus) equilibrium. Such a high dimensional structure can be expected to present a new direction of the mathematical analysis as well as a criterion of the limit of synchronization in some engineering fields. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Phase Model / Synchronization / Critical State / Homoclinic Orbit / Bifurcation / Chaos |
| Paper # | |
| Date of Issue |
| Conference Information | |
| Committee | NC |
|---|---|
| Conference Date | 1995/6/30(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Neurocomputing (NC) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Critical states from a class of phase equations |
| Sub Title (in English) | |
| Keyword(1) | Phase Model |
| Keyword(2) | Synchronization |
| Keyword(3) | Critical State |
| Keyword(4) | Homoclinic Orbit |
| Keyword(5) | Bifurcation |
| Keyword(6) | Chaos |
| 1st Author's Name | Hisa-Aki Tanaka |
| 1st Author's Affiliation | School of Science and Engineering, Waseda University() |
| 2nd Author's Name | Shin'ichi Oishi |
| 2nd Author's Affiliation | School of Science and Engineering, Waseda University |
| Date | 1995/6/30 |
| Paper # | |
| Volume (vol) | vol.95 |
| Number (no) | 135 |
| Page | pp.pp.- |
| #Pages | 7 |
| Date of Issue | |