A Shadowing Theorem for ordinary differential equations

Brian A Coomes, Huseyin Kocak, Kenneth J. Palmer

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)85-106
Number of pages22
JournalZAMP Zeitschrift für angewandte Mathematik und Physik
Volume46
Issue number1
DOIs
StatePublished - Jan 1995

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Shadowing
Ordinary differential equations
Ordinary differential equation
Orbits
differential equations
theorems
Orbit
orbits
Theorem
Hyperbolic Set
Autonomous Systems
System of Ordinary Differential Equations
Compact Set
Approximate Solution

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

Cite this

A Shadowing Theorem for ordinary differential equations. / Coomes, Brian A; Kocak, Huseyin; Palmer, Kenneth J.

In: ZAMP Zeitschrift für angewandte Mathematik und Physik, Vol. 46, No. 1, 01.1995, p. 85-106.

Research output: Contribution to journalArticle

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