A probability based approach on ananlyzing dynamics of oscillators on a bidirectional ring with propagation delay
| dc.creator | Yang, Shuishi | |
| dc.date | 2005-07-01 | |
| dc.date.accessioned | 2026-07-07T05:36:34Z | |
| dc.date.available | 2026-07-07T05:36:34Z | |
| dc.description | In this paper, we presented a model of pulse-coupled oscillators distributed on a bidirectional ring with propagation delay. In numerical simulations based on this model, we observed phenomena of asynchrony in a certain range of delay factor $α$. To find the cause of these phenomena, we used a new probability based approach of analyzing. In this approach, the mathematical expectation of influence on one oscillator's phase change caused by its neighbor, which is regarded as a random factor, is calculated. By adding this expectation of influence into the firing map $h(ϕ)$ introduced by Mirolla and Strogatz, a probability firing map $H$ is invented. By observing the behavior of $H$ 's iteration from $H$ 's graph, we successfully constructed a connection between the asynchrony phenomena and $H$ 's graph. | |
| dc.description | 16 pages, 13 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0507001 | |
| dc.identifier | http://arxiv.org/abs/nlin/0507001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/81033 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | A probability based approach on ananlyzing dynamics of oscillators on a bidirectional ring with propagation delay | |
| dc.type | text |