Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Truncating expansions in bi-orthogonal bases: What is preserved? |
Autor: | Krmpotić, D.; Mindlin, G.B. |
Filiación: | Departamento de Física, Universidad Nacional de la Plata, La Plata, Argentina Departamento de Física, FCEN, Ciudad Universitaria, Pab. I, C.P. 1428, Buenos Aires, Argentina
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Palabras clave: | Coherent structures; Space-time complexity; Topological invariants |
Año: | 1997
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Volumen: | 236
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Número: | 4
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Página de inicio: | 301
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Página de fin: | 306
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DOI: |
http://dx.doi.org/10.1016/S0375-9601(97)00774-3 |
Título revista: | Physics Letters, Section A: General, Atomic and Solid State Physics
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Título revista abreviado: | Phys Lett Sect A Gen At Solid State Phys
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ISSN: | 03759601
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CODEN: | PYLAA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v236_n4_p301_Krmpotic |
Referencias:
- Abarbanel, H.D.I., Brown, R., Sidorovich, J.J., Tsimpring, L.Sh., (1993) Rev. Mod. Phys., 65
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- Berkooz, G., (1994) Nonlinearity, 7, p. 313
- Huerta, M., Krmpotić, D., Mindlin, G.B., Mancini, H., Maza, D., Pérez-García, C., (1996) Physica D, 96, p. 200
- Kauffman, L., (1991) Knots and Physics, , World Scientific, Singapore
- Duarte, A., Mancho, A., Mindlin, G.B., (1996) Phys. Lett. A, 221, p. 181
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Citas:
---------- APA ----------
Krmpotić, D. & Mindlin, G.B.
(1997)
. Truncating expansions in bi-orthogonal bases: What is preserved?. Physics Letters, Section A: General, Atomic and Solid State Physics, 236(4), 301-306.
http://dx.doi.org/10.1016/S0375-9601(97)00774-3---------- CHICAGO ----------
Krmpotić, D., Mindlin, G.B.
"Truncating expansions in bi-orthogonal bases: What is preserved?"
. Physics Letters, Section A: General, Atomic and Solid State Physics 236, no. 4
(1997) : 301-306.
http://dx.doi.org/10.1016/S0375-9601(97)00774-3---------- MLA ----------
Krmpotić, D., Mindlin, G.B.
"Truncating expansions in bi-orthogonal bases: What is preserved?"
. Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 236, no. 4, 1997, pp. 301-306.
http://dx.doi.org/10.1016/S0375-9601(97)00774-3---------- VANCOUVER ----------
Krmpotić, D., Mindlin, G.B. Truncating expansions in bi-orthogonal bases: What is preserved?. Phys Lett Sect A Gen At Solid State Phys. 1997;236(4):301-306.
http://dx.doi.org/10.1016/S0375-9601(97)00774-3