Asymptotic expansion of the unstable manifold in a 4-dimensional symplectic mapping

Abstract

A 1-dimensional sub-manifold of an unstable manifold in a 4-dimensional symplectic mapping is analytically obtained, using the method called asymptotic expansions beyond all orders. We obtain the condition with which homoclinic structure of the mapping is regarded as a direct product of 2-dimensional mappings. 

Topics

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