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- W2044778281 abstract "In this paper the Poincaré–Hopf inequalities are shown to be necessary and sufficient conditions for an abstract Lyapunov graph L to be continued to an abstract Lyapunov graph of Morse type. The Lyapunov graphs considered may represent smooth flows on closed orientable n-manifolds, n geq 2. The continuation which is presented by means of a constructive algorithm, is shown to be unique in dimensions two and three. In all other dimensions, the exact number of possible continuations of L are presented." @default.
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- W2044778281 date "2003-01-16" @default.
- W2044778281 modified "2023-10-01" @default.
- W2044778281 title "Lyapunov graph continuation" @default.
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- W2044778281 doi "https://doi.org/10.1017/s014338570200086x" @default.
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