Lyapunov graphs for circle valued functions - Archive ouverte HAL
Article Dans Une Revue Topology and its Applications Année : 2018

Lyapunov graphs for circle valued functions

Résumé

Conley index theory is used to obtain results for flows associated to circular Lyapunov functions defined on general compact smooth n-manifolds. This is done in terms of their underlying circular Lyapunov digraphs, which are generalizations of Morse digraphs, by extensively studying their combinatorics, invariants and realizability.

Dates et versions

hal-01997460 , version 1 (29-01-2019)

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Ketty de Rezende, Guido G.E. Ledesma, Oziride Manzoli-Neto, Gioia Vago. Lyapunov graphs for circle valued functions. Topology and its Applications, 2018, 245, pp.62-91. ⟨10.1016/j.topol.2018.06.008⟩. ⟨hal-01997460⟩
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