induced dynamics on the hyperspaces
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ID: 135092
2016
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Abstract
In this paper, we study the dynamics induced by finite commutative relation on the hyperspaces. We prove that the dynamics induced on the hyperspace by a non-trivial commutative family of continuous self maps cannot be transitive and hence cannot exhibit higher degrees of mixing. We also prove that the dynamics induced on the hyperspace by such a collection cannot have dense set of periodic points. We also give example to show that the induced dynamics in this case may or may not be sensitive.
| Reference Key |
sharma2016appliedinduced
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|---|---|
| Authors | ;Puneet Sharma |
| Journal | Health and quality of life outcomes |
| Year | 2016 |
| DOI |
10.4995/agt.2016.4154
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| URL | |
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