Second-Order Dynamics in the Collective Evolution of Coupled Maps and Automata

Details Second-Order Dynamics in the Collective Evolution of Coupled Maps and Automata Second-Order Dynamics in the Collective Evolution of Coupled Maps and Automata

1992-11-20

arxiv.org/abs/cond-mat/9211012v1

Modern Phys. Lett. B 6, 1835-1841 (1992)

Physics

Condensed Matter

11 pages (plain TeX), 4 figures (PostScript), preprint OUTP-92-51S

Scientific paper

10.1142/S0217984992001538

We review recent numerical studies and the phenomenology of spatially synchronized collective states in many-body dynamical systems. These states exhibit thermodynamic noise superimposed on the collective, quasiperiodic order parameter evolution with typically one basic irrational frequency. We concentrate on the description of the global temporal properties in terms of second-order difference equations.

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