BLUE-SKY CATASTROPHE IN SINGULARLY PERTURBED SYSTEMS

作者: Andrey L. Shilnikov¹, Leonid Pavlovich Shilnikov², Dmitry V. Turaev³

机构：

1. Department of Mathematics and Statistics, Georgia State University, 30 Pryor Street, Atlanta 30303, USA

2. Institute for Applied Mathematics and Cybernetics, 10 Ulyanov Street, Nizhny Novgorod, 603005 Russia

3. Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Be’er Sheva 84105, ISRAEL

关键词: 鞍节点，全局分岔，稳定边界，慢-快系统，爆发振荡，尖峰，兴奋性

Dates: Received April 23, 2003

我们证明，蓝天灾难是至少有两个快变量的奇异摄动(多尺度) 系统中一种典型的现象，蓝天突变创造了一个长度无限增加的稳定周期轨道。我们描述了这种分岔的三种不同机制。我们认为它是由周期性峰值向周期性爆发振荡转变的背后原因。

原文：BLUE-SKY CATASTROPHE IN SINGULARLY PERTURBED SYSTEMS

翻译稿：奇异摄动系统中的蓝天灾难