Nonlinear Phenomena in Complex Systems, 2001, Vol.4, No.3, pp.250-263

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2001, Volume 4, Number 3, pp.250-263

A Synergetic Approach for the Analysis of Spatio-Temporal Signals
C. Uhl, R. Friedrich, and H. Haken

We present a method to analyze spatio-temporal signals emerging from synergetic systems. The approach relies on an extremum principle and yields order parameters and enslaved modes in the vicinity of phase-transition. Spatial modes as well as their dynamic interaction are obtained simultaneously. We demonstrate the method by various examples of codimension-1 and -2 instabilities.
Key words: spatio-temporal pattern, instability, phase-transition, non-equilibrium systems, self-organization

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