Horseshoe implications

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We have computed all the orbit-forcing implications, up to period 8, in horseshoe-type flows or maps that generate strange attractors. The results are presented in a horseshoe implication diagram. We describe how this diagram was computed, and show how it can be used to construct a minimal (basis) s...

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Autores principales: Mindlin, G.B., López-Ruiz, R., Solari, H.G., Gilmore, R.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 1993
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1063651X_v48_n6_p4297_Mindlin
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_1063651X_v48_n6_p4297_Mindlin2023-06-12T16:49:02Z Horseshoe implications Physical Review E 1993;48(6):4297-4304 Mindlin, G.B. López-Ruiz, R. Solari, H.G. Gilmore, R. We have computed all the orbit-forcing implications, up to period 8, in horseshoe-type flows or maps that generate strange attractors. The results are presented in a horseshoe implication diagram. We describe how this diagram was computed, and show how it can be used to construct a minimal (basis) set of periodic orbits which force the existence of all the periodic orbits associated with a strange attractor, up to any given period. © 1993 The American Physical Society. Fil:Solari, H.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1993 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v48_n6_p4297_Mindlin
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
description We have computed all the orbit-forcing implications, up to period 8, in horseshoe-type flows or maps that generate strange attractors. The results are presented in a horseshoe implication diagram. We describe how this diagram was computed, and show how it can be used to construct a minimal (basis) set of periodic orbits which force the existence of all the periodic orbits associated with a strange attractor, up to any given period. © 1993 The American Physical Society.
format Artículo
Artículo
publishedVersion
author Mindlin, G.B.
López-Ruiz, R.
Solari, H.G.
Gilmore, R.
spellingShingle Mindlin, G.B.
López-Ruiz, R.
Solari, H.G.
Gilmore, R.
Horseshoe implications
author_facet Mindlin, G.B.
López-Ruiz, R.
Solari, H.G.
Gilmore, R.
author_sort Mindlin, G.B.
title Horseshoe implications
title_short Horseshoe implications
title_full Horseshoe implications
title_fullStr Horseshoe implications
title_full_unstemmed Horseshoe implications
title_sort horseshoe implications
publishDate 1993
url http://hdl.handle.net/20.500.12110/paper_1063651X_v48_n6_p4297_Mindlin
work_keys_str_mv AT mindlingb horseshoeimplications
AT lopezruizr horseshoeimplications
AT solarihg horseshoeimplications
AT gilmorer horseshoeimplications
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