2014/04/11 by Marzena Ciszak, Catalina Mayol, C. Mayol +4 · 17 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Anticipation (artificial intelligence) #Autocorrelation #Chaos control and synchronization #Complex system #Computer science #Control theory (sociology) #Coupling (piping) #Engineering #Mathematics #Mechanics #Nonlinear Dynamics and Pattern Formation #Physics #Stability (learning theory) #Statistical physics #Statistics #Synchronization (alternating current) #Topology (electrical circuits) #Turbulence #cond-mat.stat-mech #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.92.032911
published in Physical Review E 92(3), 032911 (American Physical Society) · 6 pages, 6 figures
arxiv created 2014/04/11 · openalex publication_date 2015/09/17 · arxiv updated 2015/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the occurrence of anticipated synchronization in two complex Ginzburg-Landau systems coupled in a master-slave configuration. Master and slave systems are ruled by the same autonomous function, but the slave system receives the injection from the master and is subject to a negative delayed self-feedback loop. We give evidence that the magnitude of the largest anticipation time, obtained for complex-valued coupling constants, depends on the dynamical regime where the system operates (defect turbulence, phase turbulence, or bichaos) and scales with the linear autocorrelation time of the system. We also provide analytical conditions for the stability of the anticipated synchronization manifold that are in qualitative agreement with those obtained numerically. Finally, we report on the existence of anticipated synchronization in coupled two-dimensional complex Ginzburg-Landau systems.