Identification of order parameters and manifolds for stochastic systems from data

Christoph Honisch

Westfälische Wilhelms-Universität Münster, Institut für Theoretische Physik,
AG Friedrich - Selforganization and Complexity, Münster, Germany

The slaving principle allows for a dramatic reduction of the degrees of freedom of complex systems close to instabilities. The macroscopic behaviour is then governed by a low number of collective modes, whose amplitudes are called order parameters. An up to now unsolved problem is the identification of order parameters for stochastic systems from data. We present some promising approaches on how to tackle this problem.

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