Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) (Q697326)
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| Language | Label | Description | Also known as |
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| English | Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) |
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Multiplicity of closed characteristics on symmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) (English)
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17 September 2002
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The authors prove the existence of \(n\) geometrically distinct closed characteristics for a Hamiltonian system having prescribed energy, if the constant energy surface is a compact \(C^2\) hypersurface bounding a convex subset of \(\mathbb{R}^{2n}\) containing 0 on its interior and symmetric with respect to 0.
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closed characteristics
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Hamiltonian system
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