A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures

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dc.contributor.authorBlachut, C.
dc.contributor.authorGonzalez-Tokman, C.
dc.contributor.authorHernandez-Duenas, G.
dc.date.issued2023
dc.description.abstractWe develop a transfer operator-based method for the detection of coherent structures and their associated lifespans. Characterising the lifespan of coherent structures allows us to identify dynamically meaningful time windows, which may be associated with transient coherent structures in the localised phase space, as well as with time intervals within which these structures experience fundamental changes, such as merging or separation events. The localised transfer operator approach we pursue allows one to explore the fundamental properties of a dynamical system without full knowledge of the dynamics. The algorithms we develop prove useful not only in the simple case of a periodically driven double well potential model, but also in more complex cases generated using the rotating Boussinesq equations.
dc.description.statementofresponsibilityChantelle Blachut, Cecilia González-Tokman, Gerardo Hernández-Dueñas
dc.identifier.citationJournal of Nonlinear Science, 2023; 33(4):1-32
dc.identifier.doi10.1007/s00332-023-09911-3
dc.identifier.issn0938-8974
dc.identifier.issn1432-1467
dc.identifier.orcidBlachut, C. [0000-0001-9955-7682]
dc.identifier.urihttps://hdl.handle.net/2440/139170
dc.language.isoen
dc.publisherSpringer Verlag
dc.relation.granthttp://purl.org/au-research/grants/arc/DP200101764
dc.rights© The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
dc.source.urihttps://doi.org/10.1007/s00332-023-09911-3
dc.subjectDynamical systems; Coherent structures; Boussinesq equations
dc.titleA Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures
dc.typeJournal article
pubs.publication-statusPublished

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