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Nonlinear forecasting of the generalised Kuramoto-Sivashinsky equation

Gotoda, Hiroshi; Pradas, Marc and Kalliadasis, Serafim (2015). Nonlinear forecasting of the generalised Kuramoto-Sivashinsky equation. International Journal of Bifurcation and Chaos (IJBC), 25(05), article no. 1530015.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1142/S0218127415300153
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Abstract

We study the emergence of pattern formation and chaotic dynamics in the one-dimensional (1D) generalized Kuramoto-Sivashinsky (gKS) equation by means of a time-series analysis, in particular a nonlinear forecasting method which is based on concepts from chaos theory and appropriate statistical methods. We analyze two types of temporal signals, a local one and a global one, finding in both cases that the dynamical state of the gKS solution undergoes a transition from high dimensional chaos to periodic pulsed oscillations through low dimensional deterministic chaos with increasing the control parameter of the system. Our results demonstrate that the proposed nonlinear forecasting methodology allows to elucidate the dynamics of the system in terms of its predictability properties.

Item Type: Journal Item
Copyright Holders: 2015 World Scientific Publishing Company
ISSN: 1793-6551
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetThe Open University (OU)
Extra Information: 18 pp.
Keywords: spatiotemporal chaos; nonlinear forecasting; pattern formation
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 44357
Depositing User: Marc Pradas
Date Deposited: 15 Sep 2015 09:14
Last Modified: 08 Dec 2018 13:22
URI: http://oro.open.ac.uk/id/eprint/44357
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