论文标题
重新访问Hénon地图的全态阴影：隐式函数定理透视图
Holomorphic Shadowing for Hénon Maps Revisited: an Implicit Function Theorem Perspective
论文作者
论文摘要
在研究复杂的Hénon地图时，Mummert（在“Hénon地图的“塑形阴影”中”非线性21页2887-2898，2008）定义了操作员的固定点，其固定点产生了有限的轨道。这使他能够获得螺线管基因座的估计。代替缩放定理的收缩映射定理，我们通过提供了Hubbard和Oberste-Vorth定理的替代证明（在真实而复杂的动力学系统中，第89-132、1995页）。
In studying the complex Hénon maps, Mummert (in "Holomorphic shadowing for Hénon maps" Nonlinearity 21 pp. 2887-2898, 2008) defined an operator the fixed points of which give rise to bounded orbits. This enabled him to obtain an estimate of the solenoid locus. Instead of the contraction mapping theorem, in this paper we present an implicit function theorem version of his result by providing an alternative proof of a theorem of Hubbard and Oberste-Vorth (in Real and Complex Dynamical Systems, pp.89-132, 1995).
