Lyapunov graphs for circle valued functions

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01997460
Contributor : Imb - Université de Bourgogne <>
Submitted on : Tuesday, January 29, 2019 - 9:30:17 AM
Last modification on : Thursday, February 7, 2019 - 4:06:52 PM

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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, Elsevier, 2018, 245, pp.62-91. ⟨10.1016/j.topol.2018.06.008⟩. ⟨hal-01997460⟩

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