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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2177-2194
Number of pages	18
Journal	Linear Algebra and Its Applications
Volume	439
Issue number	8
DOIs	https://doi.org/10.1016/j.laa.2013.06.008
State	Published - 15 Oct 2013
Externally published	Yes

Keywords

Dynamic
Grassmannians
Morse graphs
Topological equivalence of linear flows

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10.1016/j.laa.2013.06.008

Cite this

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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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N2 - 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.

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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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

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ER -

Linear flows and Morse graphs: Topological consequences in low dimensions

Abstract

Keywords

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