A method to discern complexity in two-dimensional patterns generated by coupled map lattices

• DOI: 10.1016/j.physa.2005.02.058
• Publication Date: 2005-04-28T13:14:18Z
• Authors: Juan R. Sánchez; Ricardo López-Ruiz
• Keywords: Computational Geometry (cs.CG); FOS: Computer and information sciences; FOS: Physical sciences; Pattern Formation and Solitons (nlin.PS); Disordered Systems and Neural Networks (cond-mat.dis-nn); Dynamical Systems (math.DS); Condensed Matter - Disordered Systems and Neural Networks; Nonlinear Sciences - Chaotic Dynamics; Nonlinear Sciences - Pattern Formation and Solitons; Quantitative Biology - Quantitative Methods; 01 natural sciences; FOS: Biological sciences; 0103 physical sciences; FOS: Mathematics; Computer Science - Computational Geometry; Mathematics - Dynamical Systems; Chaotic Dynamics (nlin.CD); Quantitative Methods (q-bio.QM)

Complex patterns generated by the time evolution of a one-dimensional digitalized coupled map lattice are quantitatively analyzed. A method for discerning complexity among the different patterns is implemented. The quantitative results indicate two zones in parameter space where the dynamics shows the most complex patterns. These zones are located on the two edges of an absorbent region where the system displays spatio-temporal intermittency.<br/>3 pages, 3 figures; some information about the authors: http://add.unizar.es/public/100_16613/index.html<br/>