1Department of Mathematics Shahid Bahonar University of Kerman Kerman, Iran 2Department of Mathematics University of Kerman (Shahid Bahonar) Kerman, Iran
Annales Polonici Mathematici, Tome 108 (2013) no. 1, pp. 1-10
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.
Keywords:
introduce notion exponential limit shadowing persistent property near hyperbolic set dynamical system varomega stability implies exponential limit shadowing property
Affiliations des auteurs :
S. A. Ahmadi 
1
;
M. R. Molaei 
2
1
Department of Mathematics Shahid Bahonar University of Kerman Kerman, Iran
2
Department of Mathematics University of Kerman (Shahid Bahonar) Kerman, Iran
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S. A. Ahmadi; M. R. Molaei. Exponential limit shadowing. Annales Polonici Mathematici, Tome 108 (2013) no. 1, pp. 1-10. doi: 10.4064/ap108-1-1