论文标题
在多维Hénon地图中存在吸引子和马蹄铁
Existence of an attractor and Horseshoe in multidimensional Hénon map
论文作者
论文摘要
在本文使用1-D辅助图的方法中，我们证明存在含有多维嫩亨样地图吸引者的捕获域。对于二次和立方非线性，我们都能获得足够的拓扑结式马蹄铁的条件。在小耦合参数的情况下，讨论了吸引子的复杂结构。
In this paper using approach of 1-D auxiliary maps we prove the existence of trapping domains containing attractors of the multidimensional Henon-like maps. For both of quadratic and cubic nonlinearities we obtain sufficient conditions of topological Smale horseshoes existence. The complex structure of attractors is discussed in the case of small coupling parameter.
