2011/06/20 by Bhargava Ravoori, Adam B. Cohen, Jie Sun +3 · 85 citations
Computer Science · Mathematics · Physics and Astronomy · #Chaotic #Chaotic systems #Complex network #Computer network #Computer science #Control theory (sociology) #Degeneracy (biology) #Eigenvalues and eigenvectors #Mathematics #Network topology #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Physics #Quantum mechanics #Robustness (evolution) #Statistical physics #Synchronization (alternating current) #Synchronization networks #Synchronization of chaos #Topology (electrical circuits) #cond-mat.dis-nn #nlin.CD #physics.soc-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physrevlett.107.034102
published in Physical Review Letters 107(3), 034102 (American Physical Society)
arxiv created 2011/06/20 · openalex publication_date 2011/07/14 · arxiv updated 2011/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Experimental studies can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection topology on synchronization in fiber-optic networks of chaotic optoelectronic oscillators. We find that the recently predicted nonmonotonic, cusplike synchronization landscape manifests itself in the rate of convergence to the synchronous state. We also observe that networks with the same number of nodes, same number of links, and identical eigenvalues of the coupling matrix can exhibit fundamentally different approaches to synchronization. This previously unnoticed difference is determined by the degeneracy of associated eigenvectors in the presence of noise and mismatches encountered in real-world conditions.