TY - JOUR
T1 - Linear flows and Morse graphs
T2 - Topological consequences in low dimensions
AU - Ayala, Víctor
AU - Jirón, Ivan
PY - 2013/10/15
Y1 - 2013/10/15
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
UR - https://www.scopus.com/pages/publications/84882914632
U2 - 10.1016/j.laa.2013.06.008
DO - 10.1016/j.laa.2013.06.008
M3 - Article
AN - SCOPUS:84882914632
SN - 0024-3795
VL - 439
SP - 2177
EP - 2194
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
IS - 8
ER -