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Weakly Mixing Invariant Tori of Hamiltonian Systems

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We note that every finite or infinite dimensional real-analytic Hamiltonian system with a quasi-periodic invariant KAM torus of finite dimension d≥ 2 can be perturbed in such a way that the new real-analytic Hamiltonian system has a weakly mixing invariant torus of the same dimension.

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Received: 24 April 1998/ Accepted: 14 January 1999

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Knill, O. Weakly Mixing Invariant Tori of Hamiltonian Systems. Comm Math Phys 204, 85–88 (1999).

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