Showcase of Blue Sky Catastrophes
作者: Leonid Pavlovich Shilnikov,Andrey L. Shilnikov,Dmitry V. Turaev
组织:
1. Research Institute for Applied Mathematics and Cybernetics, Nizhny Novgorod, 603005, Russia
2. Neuroscience Institute and Department of Mathematics and Statistics, Georgia State University,
Atlanta 30303, USA Department of Computational Mathematics and Cybernetics
3. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, 603950, Russia
4. Department of Mathematics, Imperial College, London, SW7 2AZ, UK
关键词: 余维-1, 同宿分岔, 蓝天灾难
日期: Received February 2, 2014
设一个微分方程组具有一个鞍形周期轨道,使得其不稳定流形中的每个轨道都是同宿的,即不稳定流形是(全局) 稳定流形的子集。我们研究了几个分岔的情况下这种同宿连接的破裂,导致了蓝天灾难(Blue Sky Catastrophe),以及复杂动力学的开始。文中还描述了不变环面和克莱因瓶的诞生。
原文:Showcase of Blue Sky Catastrophes
翻译稿:蓝天灾难的一个展示