The Tricomi problem on the existence of homoclinic orbits in dissipative systems

被引:9
作者
Leonov, G. A.
机构
来源
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2013年 / 77卷 / 03期
关键词
LORENZ EQUATIONS; DIMENSION;
D O I
10.1016/j.jappmathmech.2013.09.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The principles of the proof of the existence of homoclinic orbits in dissipative dynamical systems are described. The application of these principles in the case of a Lorenz system enables new criteria for the existence of homoclinic orbits to be formulated. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:296 / 304
页数:9
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