Abstract
Using the theory of invariant manifolds, we give local expressions of the stable and unstable manifolds for normally hyperbolic invariant tori, and study the existence of transverse orbits heteroclinic to hyperbolic invariant tori. These extend and improve the corresponding results obtained in [3–5].
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Supported by the National Natural Science Foundation of China and Shanghai Natural Science Foundation.
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Deming, Z. Orbits heteroclinic to invariant manifolds. Acta Mathematica Sinica 12, 372–378 (1996). https://doi.org/10.1007/BF02106791
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DOI: https://doi.org/10.1007/BF02106791