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Symbolic codes for rotational orbits

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posted on 2005-07-21, 14:34 authored by Holger R. Dullin, J.D. Meiss, D.G. Sterling
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.

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School

  • Science

Department

  • Mathematical Sciences

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2921884 bytes

Publication date

2004

Notes

This is a pre-print.

Language

  • en

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