2005/07/01 by Shuishi Yang, Yang, Shuishi
Computer Science · Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0507001
16 pages, 13 figures
arxiv created 2005/07/01 · openalex publication_date 2005/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.