---
abstract: 'We present a new methodology for studying non-Hamiltonian nonlinear systems based on an information theoretic extension of a renormalization group technique using a modified maximum entropy principle. We obtain a rigorous dimensionally reduced description for such systems. The neglected degrees of freedom by this reduction are replaced by a systematically defined stochastic process under a constraint on the second moment. This then forms the basis of a computationally efficient method. Numerical computations for the generalized Kuramoto-Sivashinsky equation support our method and reveal that the long-time underlying stochastic process of the fast (unresolved) modes obeys a universal distribution which does not depend on the initial conditions and which we rigorously derive by the maximum entropy principle.'
author:
- 'M. Schmuck'
- 'M. Pradas'
- 'S. Kalliadasis'
- 'G. A. Pavliotis'
bibliography:
- 'stoMoReByRG72.bib'
title: A new stochastic mode reduction strategy for dissipative systems
---

We acknowledge financial support from EPSRC grant No. EP/H034587, EU-FP7 ITN via Grant No. 214919 (Multiflow) and ERC via Advanced Grant No. 247031.
