Q Chen et al 1990 J. Phys. A: Math. Gen. 23 L1093 doi:10.1088/0305-4470/23/21/004
Q Chen, R S MacKay and J D Meiss
Show affiliationsThe authors construct invariant sets for the 2d-dimensional generalization of the sawtooth map which are semi-conjugate to any incommensurate rotation vector. When d<or=2 they show that these are Cantor sets. These invariant sets are hyperbolic, and they give a structural stability argument to show the existence of cantori for a non-trivial class of smooth symplectic maps.
Issue 21 (7 November 1990)
Q Chen et al 1990 J. Phys. A: Math. Gen. 23 L1093
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