R S Mackay and J D Meiss 1992 Nonlinearity 5 149 doi:10.1088/0951-7715/5/1/006
Cantori for symplectic maps near the anti-integrable limit
R S Mackay and J D Meiss
Show affiliationsThe authors prove the existence of 'cantori' of all incommensurate rotation vectors, for symplectic maps of arbitrary dimension near enough to any non-degenerate anti-integrable limit, and derive an asymptotic form for them. Cantori are invariant Cantor sets which can be thought of as remnants of KAM tori.
- PACS
- MSC
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37J40 Perturbations, normal forms, small divisors, KAM theory, Arnol'd diffusion
37J35 Completely integrable systems, topological structure of phase space, integration methods
37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods
- Subjects
- Dates
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Issue 1 (January 1992)
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Cantori for symplectic maps near the anti-integrable limit
R S Mackay and J D Meiss 1992 Nonlinearity 5 149
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