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Lyapunov graphs for circle valued functions

2018

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.

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
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