On some properties of the behavior of linear extensions of dynamical systems on a torus under perturbation of phase variables

被引：0

作者：

Samoilenko A.M. ^{[1
,2
]}

Stepanenko N.Y. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

来源：

Ukrainian Mathematical Journal | 2002年 / 54卷 / 3期

关键词：

Dynamical System; Lyapunov Function; Phase Variable; Linear Extension; Arbitrary Flow;

D O I：

10.1023/A:1020577819924

中图分类号：

学科分类号：

摘要：

We investigate classes of linear extensions of dynamical systems on a torus for which the Lyapunov functions exist for an arbitrary flow on the torus. Linear extensions for which the Lyapunov functions exist only with varying coefficients are considered separately. We investigate the problem of preservation of regularity under perturbation of phase variables. © 2002 Plenum Publishing Corporation.

引用

页码：504 / 510

页数：6

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