6533b86efe1ef96bd12cb4d4

RESEARCH PRODUCT

Lyapunov graphs for circle valued functions

Ketty A. De RezendeGioia M. VagoGuido G. E. LedesmaOziride Manzoli-neto

subject

Lyapunov functionNovikov theoryPure mathematicsMathematics::Dynamical Systems010102 general mathematicsTEORIA DO ÍNDICEMorse code01 natural scienceslaw.inventionLyapunov graphs010101 applied mathematicssymbols.namesakeMorse functions[MATH.MATH-GN]Mathematics [math]/General Topology [math.GN]lawRealizabilitysymbolsGeometry and TopologyConley index theory0101 mathematicsMathematics::Symplectic GeometryGeneric circularMSC: primary 37B30 37B35 37D15 secondary 37E35MathematicsConley index

description

International audience; 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.

yearjournalcountryeditionlanguage
2018-08-01
10.1016/j.topol.2018.06.008https://hal.archives-ouvertes.fr/hal-01997460