Real and complex dynamics of a family of birational maps of the plane: The golden mean subshift
Real and complex dynamics of a family of birational maps of the plane: The golden mean subshift
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平面双有理图族的真实而复杂的动力学：黄金分割子平移
DOI：
10.1353/ajm.2005.0015
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发表时间：
2003
影响因子：
1.7
通讯作者：
J. Diller
中科院分区：
文献类型：
--
作者：
Eric Bedford;J. Diller
我们描述了该平面的一族双胞映射族的(实)动力学。通过结合光滑动力系统的复交理论和技术，我们能够基本上完整地解释游荡和非游荡轨道的行为。特别地，黄金平均子移位为非游荡集上的动力学提供了一个拓扑模型。虽然映射不是双曲的，但它们具有许多与双曲性相关的结构。
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.