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Cantori for symplectic maps near the anti-integrable limit

R S Mackay et al 1992 Nonlinearity 5 149-160   doi: 10.1088/0951-7715/5/1/006  Help

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R S Mackay and J D Meiss
Nonlinear Syst. Lab., Math. Inst., Warwick Univ., Coventry, UK

Abstract. The 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.

Print publication: Issue 1 (January 1992)

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