Truncating expansions in bi-orthogonal bases: What is preserved?

In this work, we test the survival of topological information of an attractor under the truncations of a bi-orthogonal decomposition. We generate synthetic patterns which evolve dynamically in a desired way, and investigate the number of modes which should be kept in a truncation in order to be able...

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Detalles Bibliográficos
Autores principales: Krmpotić, D., Mindlin, G.B.
Formato: JOUR
Materias:
Coherent structures
Space-time complexity
Topological invariants
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03759601_v236_n4_p301_Krmpotic
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03759601_v236_n4_p301_Krmpotic
record_format dspace
spelling todo:paper_03759601_v236_n4_p301_Krmpotic2023-10-03T15:31:01Z Truncating expansions in bi-orthogonal bases: What is preserved? Krmpotić, D. Mindlin, G.B. Coherent structures Space-time complexity Topological invariants In this work, we test the survival of topological information of an attractor under the truncations of a bi-orthogonal decomposition. We generate synthetic patterns which evolve dynamically in a desired way, and investigate the number of modes which should be kept in a truncation in order to be able to recover the information which we provided to the system. We show that a premature truncation of this kind of decomposition, based on existing energy criteria, leads to orbits that do not preserve the topological properties of the original signal. © 1997 Elsevier Science B.V. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03759601_v236_n4_p301_Krmpotic
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Coherent structures
Space-time complexity
Topological invariants
spellingShingle Coherent structures
Space-time complexity
Topological invariants
Krmpotić, D.
Mindlin, G.B.
Truncating expansions in bi-orthogonal bases: What is preserved?
topic_facet Coherent structures
Space-time complexity
Topological invariants
description In this work, we test the survival of topological information of an attractor under the truncations of a bi-orthogonal decomposition. We generate synthetic patterns which evolve dynamically in a desired way, and investigate the number of modes which should be kept in a truncation in order to be able to recover the information which we provided to the system. We show that a premature truncation of this kind of decomposition, based on existing energy criteria, leads to orbits that do not preserve the topological properties of the original signal. © 1997 Elsevier Science B.V.
format JOUR
author Krmpotić, D.
Mindlin, G.B.
author_facet Krmpotić, D.
Mindlin, G.B.
author_sort Krmpotić, D.
title Truncating expansions in bi-orthogonal bases: What is preserved?
title_short Truncating expansions in bi-orthogonal bases: What is preserved?
title_full Truncating expansions in bi-orthogonal bases: What is preserved?
title_fullStr Truncating expansions in bi-orthogonal bases: What is preserved?
title_full_unstemmed Truncating expansions in bi-orthogonal bases: What is preserved?
title_sort truncating expansions in bi-orthogonal bases: what is preserved?
url http://hdl.handle.net/20.500.12110/paper_03759601_v236_n4_p301_Krmpotic
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