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- W2018246119 abstract "We give a definition and discuss main properties of the asymptotic Hopf invariant, or helicity, for Hamiltonian systems. The definition relies on a technical construction which is a definition of a relative Hopf invariant for divergence-free vector fields in multiconnected domains of the following type: (flatdomaininR2)×(circle). We prove correctness of the definitions, and discuss ergodic interpretation of the Hamiltonian Hopf invariant, together with its relation with the Calabi invariant." @default.
- W2018246119 created "2016-06-24" @default.
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- W2018246119 date "2005-06-01" @default.
- W2018246119 modified "2023-10-09" @default.
- W2018246119 title "On asymptotic Hopf invariant for Hamiltonian systems" @default.
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- W2018246119 doi "https://doi.org/10.1063/1.1904511" @default.
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