Title of article
Shadowing with chain transitivity
Author/Authors
Ahmadi Dastjerdi، نويسنده , , Dawoud and Hosseini، نويسنده , , Maryam، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2009
Pages
3
From page
2193
To page
2195
Abstract
A transitive dynamical system is either sensitive or has a dense set of equicontinuity points [E. Akin, J. Auslander, K. Berg, When is a transitive map chaotic, in: Convergence in Ergodic Theory and Probability, Walter de Gruyter & Co., 1996, pp. 25–40]. We show that if a chain transitive system has shadowing property then it is either sensitive or all points are equicontinuous.
Keywords
Chain recurrent , Shadowing , Chain transitivity , Distal
Journal title
Topology and its Applications
Serial Year
2009
Journal title
Topology and its Applications
Record number
1582147
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