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Weakly Mixing Invariant Tori of Hamiltonian Systems

Weakly Mixing Invariant Tori of Hamiltonian Systems

JournalCommunications in Mathematical Physics
PublisherSpringer Berlin / Heidelberg
ISSN0010-3616 (Print) 1432-0916 (Online)
IssueVolume 204, Number 1 / July, 1999
DOI10.1007/s002200050638
Pages85-88
Subject CollectionPhysics and Astronomy
SpringerLink DateThursday, July 01, 1999
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Weakly Mixing Invariant Tori of Hamiltonian Systems

Oliver Knill1

(1)  Department of Mathematics, University of Texas, Austin, TX 78712, USA. E-mail: knill@math.utexas.edu, US
Abstract:  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.
Received: 24 April 1998/ Accepted: 14 January 1999
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