2004/09/21 by Juergen Jost, Jost, Juergen, Kiran M. Kolwankar +1
Computer Science · Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Modular Robots and Swarm Intelligence #Nonlinear Dynamics and Pattern Formation #Scientific Research and Discoveries #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0409043
7 pages, 5 figures, 2 sections added
openalex publication_date 2004/09/21 · arxiv created 2005/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a new method for determining the global stability of synchronization in systems of coupled identical maps. The method is based on the study of invariant measures. Besides the simplest non-trivial example, namely two symmetrically coupled tent maps, we also treat the case of two asymmetrically coupled tent maps as well as a globally coupled network. Our main result is the identification of the precise value of the coupling parameter where the synchronizing and desynchronizing transitions take place.