1999/06/09 by Victor M. Eguiluz, Victor M. Eguı́luz, Emilio Hernández-Garcı́a +4 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Boundary (topology) #CHAOS (operating system) #Chaotic #Classical mechanics #Computer science #Control theory (sociology) #Domain (mathematical analysis) #Dynamical systems theory #Mathematical analysis #Mathematics #Mode (computer interface) #Nonlinear Dynamics and Pattern Formation #Nonlinear dynamical systems #Nonlinear system #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Reaction–diffusion system #Simple (philosophy) #Statistical physics #Synchronization of chaos #Theoretical and Computational Physics #Transverse plane #chao-dyn #nlin.CD
paper · pdf · doi:10.1103/physreve.60.6571
published as Phys. Rev. E 60, 6571-6579 (1999) · 9 pages, 6 figures, submitted for publication; for related work visit http://www.imedea.uib.es/~victor
arxiv created 1999/06/09 · openalex publication_date 1999/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that rather simple but nontrivial boundary conditions could induce the appearance of spatial chaos (that is stationary, stable, but spatially disordered configurations) in extended dynamical systems with very simple dynamics. We exemplify the phenomenon with a nonlinear reaction-diffusion equation in a two-dimensional undulated domain. Concepts from the theory of dynamical systems, and a transverse-single-mode approximation are used to describe the spatially chaotic structures.