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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.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1103/PhysRevFluids.2.124401
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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.

Item Type: Journal Item
Copyright Holders: 2017 American Physical Society
ISSN: 2469-990X
Project Funding Details:
Funded Project NameProject IDFunding Body
Not Set247031ERC
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 52782
Depositing User: Marc Pradas
Date Deposited: 04 Jan 2018 09:14
Last Modified: 04 May 2019 07:04
URI: http://oro.open.ac.uk/id/eprint/52782
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