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The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\) - MaRDI portal

The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\) (Q256403)

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scientific article; zbMATH DE number 6552897
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English
The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\)
scientific article; zbMATH DE number 6552897

    Statements

    The existence of two closed characteristics on every compact star-shaped hypersurface in \(\mathbb{R}^{4}\) (English)
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    9 March 2016
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    The authors provide a new proof for the existence of at least two characteristics on a compact star-shaped hypersurface in the four-dimensional space. They rely on the equivariant Morse theory for closed characteristics on compact star-shaped hypersurfaces.
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    compact star-shaped hypersurface
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    closed characteristic
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    Hamiltonian systems
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    resonance identity
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    multiplicity
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