| Presentation | 2002/3/12 Dynamically-Coupled Oscillators : Cooperative Behavior via Dynamical Interaction Toru AONISHI, Masato OKADA, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We focus on dynamically-coupled oscillators (DCO) and demonstrate how its dynamical interaction has influence on cooperative behavior of the oscillator population. By applying the multi-scale perturbation method (MSPM) to the phase reduction of such a system, its dynamical mutual interaction is reduced to a simple expression so called describing function. The describing function is an extension of the transfer function, which originally define linear dynamical systems, to the description for frequency response of nonlinear dynamical systems. Next, we focus on the synchronization of inhibitory networks, which is a prototype of DCO. It was experimentally discovered that the interneuron network of the CA1 area in the hippocampus does not synchronize at frequencies much bellow about 20Hz. The mechanism of this phenomenon has not been elucidated theoretically. Here, we propose the minimum models to express this phenomenon. By using our new theory, we analyze two kinds of inhibitally coupled oscillators via dynamical transfer channels causing the phase lag about 180 degree. Then, we demonstrate that the combination of inhibitory connection and dynamical transfer channel brings a strong phase synchronization in the neural population at high frequencies, but at low frequencies, its macroscopic phase synchronization is broken down because transfer channel does not cause enough phase lag to cancel the effect of the inhibition. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Dynamically-Coupled Oscillators / Signal transfer channel / Multi-scale perturbation method / Phase lag / Inhibitory network / Synchronization |
| Paper # | NC2001-183 |
| Date of Issue |
| Conference Information | |
| Committee | NC |
|---|---|
| Conference Date | 2002/3/12(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) | Dynamically-Coupled Oscillators : Cooperative Behavior via Dynamical Interaction |
| Sub Title (in English) | |
| Keyword(1) | Dynamically-Coupled Oscillators |
| Keyword(2) | Signal transfer channel |
| Keyword(3) | Multi-scale perturbation method |
| Keyword(4) | Phase lag |
| Keyword(5) | Inhibitory network |
| Keyword(6) | Synchronization |
| 1st Author's Name | Toru AONISHI |
| 1st Author's Affiliation | Brain Science Institute, RIKEN() |
| 2nd Author's Name | Masato OKADA |
| 2nd Author's Affiliation | Brain Science Institute, RIKEN |
| Date | 2002/3/12 |
| Paper # | NC2001-183 |
| Volume (vol) | vol.101 |
| Number (no) | 736 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |