A+ CATEGORY SCIENTIFIC UNIT

Exponential limit shadowing

Volume 108 / 2013

S. A. Ahmadi, M. R. Molaei Annales Polonici Mathematici 108 (2013), 1-10 MSC: Primary 37C50; Secondary 37D05. DOI: 10.4064/ap108-1-1

Abstract

We introduce the notion of exponential limit shadowing and show that it is a persistent property near a hyperbolic set of a dynamical system. We show that $\varOmega $-stability implies the exponential limit shadowing property.

Authors

  • S. A. AhmadiDepartment of Mathematics
    Shahid Bahonar University of Kerman
    Kerman, Iran
    e-mail
  • M. R. MolaeiDepartment of Mathematics
    University of Kerman (Shahid Bahonar)
    Kerman, Iran
    e-mail

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