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Reference: F. J. R. Eccles, P. L. Read and T. W. N. Haine, (2006). Synchronization and chaos control in a periodically forced quasi-geostrophic two-layer model of baroclinic instability. Nonlinear Processes in Geophysics, 13, 23-29.Citable link to this page:

 

Synchronization and chaos control in a periodically forced quasi-geostrophic two-layer model of baroclinic instability

Abstract: Cyclic forcing on many timescales is believed to have a significant effect on various quasi-periodic, geophysical phenomena such as El Niño, the Quasi-Biennial Oscillation, and glacial cycles. This variability has been investigated by numerous previous workers, in models ranging from simple energy balance constructions to full general circulation models. We present a numerical study in which periodic forcing is applied to a highly idealised, two-layer, quasi-geostrophicc model on a β-plane. The bifurcation structure and (unforced) behaviour of this particular model has been extensively examined by Lovegrove et al. (2001) and Lovegrove et al. (2002). We identify from their work three distinct regimes on which we perform our investigations: a steady, travelling wave regime, a quasi-periodic, modulated wave regime and a chaotic regime. In the travelling wave regime a non-linear resonance is found. In the periodic regime, Arnol'd tongues, frequency locking and a Devil's staircase is seen for small amplitudes of forcing. As the forcing is increased the Arnol'd tongues undergo a period doubling route to chaos, and for larger forcings still, the parameter space we explored is dominated by either period 1 behaviour or chaotic behaviour. In the chaotic regime we extract unstable periodic orbits (UPOs) and add the periodic forcing at periods corresponding to integer multiples of the UPS periods. We find regions of synchronization, similar to Arnol'd tongue behaviour but more skewed and centred approximately on these periods. The regions where chaos suppression took place are smaller than the synchronization regions, and are contained within them.

Publication status:PublishedPeer Review status:Peer reviewedVersion:Publisher's versionNotes:Citation: Eccles, F. J. R., Read, P. L. & Haine, T. W. N. (2006). 'Synchronization and chaos control in a periodically forced quasi-geostrophic two-layer model of baroclinic instability', Nonlinear Processes in Geophysics, 13, 23-39. [Available at http://www.nonlin-processes-geophys.net/13/23/2006/]. © Authors 2006. This article is distributed under the terms of the Creative Commons Attribution, NonCommercial and ShareAlike License (http://creativecommons.org/licenses/by-nc-sa/2.0/deed.en). This permits the copying and distribution of the work, and the making of derivative works, provided the original authors are credited. However, you may not use this work for commercial purposes, and if you alter, transform, or build upon this work, you must distribute the resulting work under a license identical to this one. For any reuse or distribution, you must make clear to others the license terms of this work. These conditions may be waived if you get permission from the copyright holder and, in the case of commercial use during the first five years, you also get permission from Copernicus Publications and the European Geosciences Union.

Bibliographic Details

Publisher: Copernicus GmbH

Publisher Website: http://publications.copernicus.org/

Host: Nonlinear Processes in Geophysicssee more from them

Publication Website: www.nonlin-processes-geophys.net/13/23/2006/

Issue Date: 2006-02

Copyright Date: 2006

pages:23-29Identifiers

Issn: 1023-5809

Eissn: 1607-7946

Urn: uuid:67acb632-fa4a-4447-b57d-568c6225e926 Item Description

Type: Article: post-print;

Language: en

Version: Publisher's versionKeywords: baroclinic instabilitySubjects: Earth sciences Physics Tiny URL: ora:2758

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Author: F. J. R. Eccles - institutionUniversity of Oxford facultyMathematical,Physical and Life Sciences Division - Physics researchGroup

Source: https://ora.ox.ac.uk/objects/uuid:67acb632-fa4a-4447-b57d-568c6225e926



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