2006/01/01 by P. Marcq, Philippe Marcq, Hugues Chaté +3 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research #Theoretical and Computational Physics #nlin.AO
paper · pdf · doi:10.1143/ptps.161.244
published as Prog. Theor. Phys. Suppl. 161 (2006) 244-250
openalex publication_date 2006/01/01 · arxiv created 2006/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We numerically demonstrate that collective bifurcations in two-dimensional lattices of locally coupled logistic maps share most of the defining features of equilibrium second-order phase transitions. Our simulations suggest that these transitions between distinct collective dynamical regimes belong to the universality class of Miller and Huse model with synchronous update [Marcq et al., Phys. Rev. Lett. 77 (1996), 4003].