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The Conley index, cup-length and bifurcation - MaRDI portal

The Conley index, cup-length and bifurcation (Q1761403)

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scientific article; zbMATH DE number 6106772
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The Conley index, cup-length and bifurcation
scientific article; zbMATH DE number 6106772

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    The Conley index, cup-length and bifurcation (English)
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    15 November 2012
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    After recalling concepts from Conley index theory and the relative cup length, the paper is concerned with bifurcation for equivariant gradient-like flows on locally compact spaces. As an application the bifurcation of periodic solutions of an autonomous Hamiltonian system on \(\mathbb{R}^{2N}\) is considered.
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    Conley index
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    cup product
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    bifurcation
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    Hamiltonian system
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    periodic solution
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