Localization of compact invariant sets of the Lorenz system

被引:101
作者
Krishchenko, AP
Starkov, KE
机构
[1] IPN, CITEDI, Mesa de Otay, Tijuana BC, Mexico
[2] Bauman Moscow State Tech Univ, Moscow 105005, Russia
基金
俄罗斯基础研究基金会;
关键词
polynomial system; Lorenz system; localization; compact invariant sets; first-order extremum conditions;
D O I
10.1016/j.physleta.2005.12.104
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The problem of finding domains in the state space of a nonlinear system which contain all compact invariant sets is considered. Such domains are computed for the Lorenz system by using different localizing functions. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:383 / 388
页数:6
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