Shadowing is generic on dendrites

Will Brian; Jonathan Meddaugh; Brian Raines

doi:10.3934/dcdss.2019142

Article Contents

2019, Volume 12, Issue 8: 2211-2220. Doi: 10.3934/dcdss.2019142

This issue Previous Article Special issue on fractal geometry, dynamical systems, and their applications Next Article Free probability on

$ C^{*}$

-algebras induced by hecke algebras over primes

Shadowing is generic on dendrites

1.
Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223-0001, USA
2.
Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA

* Corresponding author: Will Brian
* Corresponding author: Will Brian

Received: August 2016

Revised: December 2016

Published: December 2019

The second author gratefully acknowledge support from the European Union through funding the H2020-MSCA-IF-2014 project ShadOmIC (SEP-210195797)

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Abstract

We show that shadowing is a generic property for continuous maps on dendrites.

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Mathematics Subject Classification: 37B50, 37B10, 37B20, 54H20.

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References

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