Localization of invariant compact sets of nonautonomous systems

被引：0

作者：

A. N. Kanatnikov

A. P. Krishchenko

机构：

[1] Moscow State Technical University,

来源：

Differential Equations | 2009年 / 45卷

关键词：

Localization Problem; Localization Method; Wind Force; Nonautonomous System; Atmosphere Dynamic;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We generalize the localization method for invariant compact sets of an autonomous dynamical system to the case of a nonautonomous system of differential equations. By using this method, we solve the localization problem for the Vallis third-order dynamical system governing some processes in atmosphere dynamics over the Pacific Ocean. For this system, we construct a one-parameter family of localizing sets bounded by second-order surfaces and find the intersection of all sets of the family.

引用

页码：46 / 52

页数：6

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