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Title: Symbolic codes for rotational orbits
Authors: Dullin, Holger R.
Meiss, J.D.
Sterling, D.G.
Issue Date: 2004
Abstract: Symbolic codes for rotational orbits and “islands-around-islands” are constructed for the quadratic, area-preserving H´enon map. The codes are based upon continuation from an antiintegrable limit, or alternatively from the horseshoe. Given any sequence of rotation numbers we obtain symbolic sequences for the corresponding elliptic and hyperbolic rotational orbits. These are shown to be consistent with numerical evidence. The resulting symbolic partition of the phase space consists of wedges constructed from images of the symmetry lines of the map.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/230
Appears in Collections:Pre-prints (Maths)

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