A Shadowing Theorem for ordinary differential equations

  • Brian A. Coomes
  • Hüseyin Koçak
  • Kenneth J. Palmer
Original Papers

DOI: 10.1007/BF00952258

Cite this article as:
Coomes, B.A., Koçak, H. & Palmer, K.J. Z. angew. Math. Phys. (1995) 46: 85. doi:10.1007/BF00952258

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.

Copyright information

© Birkhäuser Verlag 1995

Authors and Affiliations

  • Brian A. Coomes
    • 1
  • Hüseyin Koçak
    • 1
  • Kenneth J. Palmer
    • 1
  1. 1.Dept of Mathematics and Computer ScienceUniversity of MiamiCoral GablesUSA

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