D Treschev 2002 Nonlinearity 15 2033 doi:10.1088/0951-7715/15/6/313
Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems
D Treschev
Show affiliationsRecommended by P Cvitanovic
We consider a priori unstable (initially hyperbolic) near-integrable Hamiltonian systems in a neighbourhood of asymptotic surfaces of a family of hyperbolic tori. Applying the idea of the anti-integrable limit, we construct a large class of chaotic trajectories.
- PACS
- MSC
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37K65 Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics
- Subjects
- Dates
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Issue 6 (November 2002)
Received 25 January 2002, in final form 5 September 2002
Published 5 October 2002
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Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems
D Treschev 2002 Nonlinearity 15 2033
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