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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1997
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v236_n4_p301_Krmpotic http://hdl.handle.net/20.500.12110/paper_03759601_v236_n4_p301_Krmpotic |
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| Sumario: | 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. |
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