论文标题
Lozi,Hénon和Belykh类型地图的奇怪吸引者的不变锥
Invariant cones for strange attractors of Lozi, Hénon and Belykh type maps
论文作者
论文摘要
我们认为具有一个非线性的二维广义图的奇怪吸引子,以便Lozi,Hénon和Belykh地图是特殊情况。我们描述了不变的扩展和收缩锥创建技术,以研究双曲线特性。提出了奇异双曲线吸引子的定理,用于提出Lozi,Hénon和Belykh型地图的新修饰。
We consider strange attractors of two dimensional generalized map with one nonlinearity such that Lozi, Hénon and Belykh maps are particular cases of it. We describe technique of invariant expanding and contracting cones creation for study of hyperbolic properties. Theorems of singular hyperbolic attractors for new modifications of Lozi, Hénon and Belykh-type maps are presented.