Shadowing, ergodic shadowing and uniform spaces
Keyword(s):
We introduce and study the topological concepts of ergodic shadowing, chain transitivity and topological ergodicity for dynamical systems on non-compact non-metrizable spaces. These notions generalize the relevant concepts for metric spaces. We prove that a dynamical system with topological ergodic shadowing property is topologically chain transitive, and that topological chain transitivity together with topological shadowing property implies topological ergodicity.
2018 ◽
Vol 28
(12)
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pp. 1850155
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1990 ◽
Vol 10
(3)
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pp. 451-462
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Keyword(s):
2001 ◽
Vol 37
(1-2)
◽
pp. 169-184
2007 ◽
Vol 5
◽
pp. 195-200
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