2017/11/04 by Suman Acharyya, Acharyya, Suman
Computer Science · #Cellular Automata and Applications #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation
paper · pdf · doi:10.48550/arxiv.1711.01400
openalex publication_date 2017/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the synchronized interval in undirected and unweighted random networks of coupled oscillators as a function of the number of edges. In many coupled oscillator systems, synchronization is stable in a finite interval of coupling parameter, which we define as the synchronized interval. We find in random networks, the width of the synchronized interval is maximum for an optimal number of edges. We derive analytically an estimation for this optimal value of the number of edges. In small networks, the analytical estimation deviates from the numerical results. However, in large networks the analytical and numerical results are in excellent agreement.