Linear flows and Morse graphs: Topological consequences in low dimensions

Víctor Ayala; Ivan Jirón

doi:10.1016/j.laa.2013.06.008

Linear flows and Morse graphs: Topological consequences in low dimensions

Víctor Ayala
, Ivan Jirón

Universidad Católica del Norte

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

The main aim of this paper is to show some specific connections between linear dynamic and graphs. Precisely, the Morse decomposition of a linear flow on the Grassmannians induces a directed graph. We apply the results appearing in Ayala et al. (2006, 2005) [2,3] and Colonius et al. (2002) [4] and compute the associated graphs for linear flows in dimensions two and three.

Idioma original	Inglés
Páginas (desde-hasta)	2177-2194
Número de páginas	18
Publicación	Linear Algebra and Its Applications
Volumen	439
N.º	8
DOI	https://doi.org/10.1016/j.laa.2013.06.008
Estado	Publicada - 15 oct 2013
Publicado de forma externa	Sí

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title = "Linear flows and Morse graphs: Topological consequences in low dimensions",

abstract = "The main aim of this paper is to show some specific connections between linear dynamic and graphs. Precisely, the Morse decomposition of a linear flow on the Grassmannians induces a directed graph. We apply the results appearing in Ayala et al. (2006, 2005) [2,3] and Colonius et al. (2002) [4] and compute the associated graphs for linear flows in dimensions two and three.",

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AU - Jirón, Ivan

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AB - The main aim of this paper is to show some specific connections between linear dynamic and graphs. Precisely, the Morse decomposition of a linear flow on the Grassmannians induces a directed graph. We apply the results appearing in Ayala et al. (2006, 2005) [2,3] and Colonius et al. (2002) [4] and compute the associated graphs for linear flows in dimensions two and three.

KW - Dynamic

KW - Grassmannians

KW - Morse graphs

KW - Topological equivalence of linear flows

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Linear flows and Morse graphs: Topological consequences in low dimensions

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