A new approach to partial synchronization in globally coupled rotators
| dc.creator | Mohanty, P. K. | |
| dc.creator | Politi, Antonio | |
| dc.date | 2005-07-01 | |
| dc.date | 2006-07-10 | |
| dc.date.accessioned | 2026-07-07T06:41:16Z | |
| dc.date.available | 2026-07-07T06:41:16Z | |
| dc.description | We develop a formalism to analyze the behaviour of pulse--coupled identical phase oscillators with a specific attention devoted to the onset of partial synchronization. The method, which allows describing the dynamics both at the microscopic and macroscopic level, is introduced in a general context, but then the application to the dynamics of leaky integrate-and-fire (LIF) neurons is analysed. As a result, we derive a set of delayed equations describing exactly the LIF behaviour in the thermodynamic limit. We also investigate the weak coupling regime by means of a perturbative analysis, which reveals that the evolution rule reduces to a set of ordinary differential equations. Robustness and generality of the partial synchronization regime is finally tested both by adding noise and considering different force fields. | |
| dc.description | 5 pages, 3 eps figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0507037 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0507037 | |
| dc.identifier | J. Phys. A 39, L415 (2006) | |
| dc.identifier | doi:10.1088/0305-4470/39/26/L01 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101609 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | A new approach to partial synchronization in globally coupled rotators | |
| dc.type | text |