论文标题
动态及以后的瞬态过程的奇异性
Singularities of transient processes in dynamics and beyond
论文作者
论文摘要
本说明是对动态系统中长瞬变分析的简要回顾。从物理和化学动力学到生物学甚至社会科学的许多学科中，长期瞬态的问题出现。详细分析各种“放松时间”相关的长瞬变的奇异性，其分叉为$ω$ - 限制套件，同层结构（$α$ - $α$ - 和$ω$ - 限制套件）和其他动态性。通过对A. Morozov和S. Petrovskii与合着者发表的生态学反常瞬态的分析，刺激了这篇综述。
This note is a brief review of the analysis of long transients in dynamical systems. The problem of long transients arose in many disciplines, from physical and chemical kinetic to biology and even social sciences. Detailed analysis of singularities of various `relaxation times' associated long transients with bifurcations of $ω$-limit sets, homoclinic structures (intersections of $α$- and $ω$-limit sets) and other peculiarities of dynamics. This review was stimulated by the analysis of anomalously long transients in ecology published recently by A. Morozov and S. Petrovskii with co-authors.
