Chaotic versus stochastic behavior in active-dissipative nonlinear systems

Gotoda, Hiroshi; Pradas, Marc and Kalliadasis, Serafim (2017). Chaotic versus stochastic behavior in active-dissipative nonlinear systems. Physical Review Fluids, 2, article no. 124401.

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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About

• Item ORO ID
• 52782
• Item Type
• Journal Item
• ISSN
• 2469-990X
• Project Funding Details

• Funded Project Name	Project ID	Funding Body
  Not Set	247031	ERC

• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2017 American Physical Society
• Depositing User
• Marc Pradas