Shadowing with chain transitivity |
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| Authors: | Dawoud Ahmadi Dastjerdi Maryam Hosseini |
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| Institution: | Department of Mathematics, The University of Guilan, Rasht, Iran |
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| 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. |
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| Keywords: | primary 54H20 37B40 37D45 secondary 28D20 |
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