Abstract

We describe the (real) dynamics of a family of birational mappings of the plane. By combining complex intersection theory and techniques from smooth dynamical systems, we are able to give an essentially complete account of the behavior of both wandering and nonwandering orbits. In particular, the golden mean subshift provides a topological model for the dynamics on the nonwandering set. While the mappings are not hyperbolic, they are shown to possess many of the structures associated with hyperbolicity.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 595-646
Launched on MUSE
2005-06-08
Open Access
No
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