Nonlinear Phenomena in Complex Systems, 2006, Vol.9, No.2, pp.173-177

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2006, Vol.9, No.2, pp.173-177

Method of Asymptotics beyond All Orders and Restriction on Maps.
S. Ajisaka and S. Tasaki

The method of asymptotics beyond all orders (ABAO) is known to be a useful tool to investigate separatrix splitting of several maps. For a class of symplectic maps, the form of maps is shown to be restricted by the conditions for the ABAO method to work well. The standard, Hénon and cubic maps satisfy the restrictions.
Key words: asymptotics expansion, complex analysis, splitting, invariant manifold

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