A SHADOWING THEOREM FOR ORDINARY DIFFERENTIAL-EQUATIONS

被引：17

作者：

COOMES, BA

KOCAK, H

PALMER, KJ

机构：

[1] Dept of Mathematics and Computer Science, University of Miami, Coral Gables, 33124, FL

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1995年 / 46卷 / 01期

关键词：

D O I：

10.1007/BF00952258

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new notion of shadowing of a pseudo orbit, an approximate solution, of an autonomous system of ordinary differential equations by an associated nearby true orbit is introduced. Then a general theorem which guarantees the existence of shadowing of pseudo orbits in compact hyperbolic sets is proved.

引用

页码：85 / 106

页数：22

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