Weakly mixing invariant tori of Hamiltonian systems (Q1809255)
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scientific article; zbMATH DE number 1379920
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weakly mixing invariant tori of Hamiltonian systems |
scientific article; zbMATH DE number 1379920 |
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Weakly mixing invariant tori of Hamiltonian systems (English)
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16 December 1999
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The author proves the theorem: Given a real analytic Hamiltonian \(H\) for which there exists an invariant torus \(N\) on which the dynamics is quasi-periodic, there exists a Hamiltonian \(K\) arbitrarily close to \(H\) for which the same torus is still invariant and for which the dynamics on \(N\) is ergodic and weakly mixing.
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invariant torus
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weakly mixing
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Hamiltonian
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Shklover's theorem
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