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Chaotic versus stochastic behavior in active-dissipative nonlinear systems

Hiroshi Gotoda1, Marc Pradas2, and Serafim Kalliadasis3

  • 1Department of Mechanical Engineering, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo, 125-8585, Japan
  • 2School of Mathematics and Statistics, Open University, Milton Keynes MK7 6AA, United Kingdom
  • 3Department of Chemical Engineering, Imperial College London, London SW7 2AZ, United Kingdom

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Phys. Rev. Fluids 2, 124401 – Published 21 December, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.124401

Abstract

We study the dynamical state of the one-dimensional noisy generalized Kuramoto-Sivashinsky (gKS) equation by making use of time-series techniques based on symbolic dynamics and complex networks. We focus on analyzing temporal signals of global measure in the spatiotemporal patterns as the dispersion parameter of the gKS equation and the strength of the noise are varied, observing that a rich variety of different regimes, from high-dimensional chaos to pure stochastic behavior, emerge. Permutation entropy, permutation spectrum, and network entropy allow us to fully classify the dynamical state exposed to additive noise.

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Phys. Rev. Fluids 2, 124401– Published 21 December, 2017
  • Received 20 March 2017

©2017 American Physical Society

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