1997/03/26 by Wolfram Just · 1 citation
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #chao-dyn #nlin.CD
paper · pdf · doi:10.1016/s0370-1573(97)00061-6
12 pages, Latex, 3 eps figures included also available "at http://athene.fkp.physik.th-darmstadt.de/public/wolfram.html" or "at ftp://athene.fkp.physik.th-darmstadt.de/pub/publications/wolfram/" Phys. Rep. in press
arxiv created 1997/03/26 · openalex publication_date 1997/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A mean-field formulation is used to investigate the bifurcation diagram for globally coupled tent maps by means of an analytical approach. It is shown that the period doubling sequence of the single site map induces a continuous family of periodic states in the coupled system. This type of collective motion breaks the ergodicity of the coupled map lattice. The stability analysis suggests that these states are stable for weak coupling strength but opens the possibility for more complicated types of motion in the regime of moderate coupling.