Understanding Chaotic Dynamical Systems
Understanding Chaotic Dynamical Systems
复制标题
了解混沌动力系统
DOI：
10.1002/cpa.21468
复制
发表时间：
2013
影响因子：
3
通讯作者：
L. Young
中科院分区：
文献类型：
--
作者：
L. Young
本文探讨了混沌动力系统的演化。它考察了动力学复杂性或混沌表现的三种标准方式，包括双曲性，熵和相关衰减。它讨论了由具体方程定义的系统中混沌行为存在或不存在的证明问题。它还说明了一类奇怪的吸引子，自然出现在简化的物理学和生物学模型。
The article explores the evolution of a chaotic dynamic system. It examines the three standard ways in which dynamical complexity or chaos manifests itself which include hyperbolicity, entropy and correlation decay. It discusses the problem of proving the existence or nonexistence of chaotic behavior in systems defined by concrete equations. It also illustrates a class of strange attractors that arise naturally in simplified models of physics and biology.