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February 2009 A note on the uniform limit of transitive dynamical systems
Alessandro Fedeli, Attilio Le Donne
Bull. Belg. Math. Soc. Simon Stevin 16(1): 59-66 (February 2009). DOI: 10.36045/bbms/1235574192

Abstract

In this note we study the dynamical behaviour of the uniform limit of a sequence of continuous self-maps on a compact metric space satisfying (topological) transitivity or other related properties. Moreover, some conditions for the transitivity of a limit are given.

Citation

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Alessandro Fedeli. Attilio Le Donne. "A note on the uniform limit of transitive dynamical systems." Bull. Belg. Math. Soc. Simon Stevin 16 (1) 59 - 66, February 2009. https://doi.org/10.36045/bbms/1235574192

Information

Published: February 2009
First available in Project Euclid: 25 February 2009

zbMATH: 1160.37314
MathSciNet: MR2498959
Digital Object Identifier: 10.36045/bbms/1235574192

Subjects:
Primary: ‎37B05‎ , 40A30 , 54H20‎

Keywords: (topological) transitivity , chain-transitivity , chaos , shadowing property , Uniform convergence

Rights: Copyright © 2009 The Belgian Mathematical Society

Vol.16 • No. 1 • February 2009
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