论文标题
存在三维混沌“ sink-source”级联的能量函数
Existence of an energy function for 3-dimensional chaotic "sink-source" cascades
论文作者
论文摘要
该论文是在能量函数方向上进行研究的延续（光滑的Lyapunov函数，其临界点的集合与系统的链条复发集合在一起），用于离散动力学系统。作者确定了三维封闭的可定向歧管的任何$ a $ diffeomormorlist的能量功能，其非随身携带的集合由混乱的一维吸引子和驱虫器组成。
The paper is a continuation of research in the direction of energy function (a smooth Lyapunov function whose set of critical points coincides with the chain recurrent set of a system) construction for discrete dynamical systems. The authors established the existence of an energy function for any $ A $-diffeomorphism of a three-dimensional closed orientable manifold whose non-wandering set consists of chaotic one-dimensional attractor and repeller.
