R S Mackay and J D Meiss 1992 Nonlinearity 5 149 doi:10.1088/0951-7715/5/1/006
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.
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
Issue 1 (January 1992)
R S Mackay and J D Meiss 1992 Nonlinearity 5 149
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