Open Access
2010 Chaos and equicontinuity
Scott Larson
Involve 3(4): 363-369 (2010). DOI: 10.2140/involve.2010.3.363

Abstract

Chaos theory examines the iterates of continuous functions to draw conclusions about long-term behavior. As this relatively new theory has evolved, one difficulty still present is the absence of universally agreed upon definitions. On the other hand, function spaces and equicontinuity are well established concepts with mathematical definitions that are universally accepted. We will present some theorems that display the natural connections between chaos and equicontinuity.

Citation

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Scott Larson. "Chaos and equicontinuity." Involve 3 (4) 363 - 369, 2010. https://doi.org/10.2140/involve.2010.3.363

Information

Received: 7 December 2009; Accepted: 12 November 2010; Published: 2010
First available in Project Euclid: 20 December 2017

zbMATH: 1213.37057
MathSciNet: MR2763265
Digital Object Identifier: 10.2140/involve.2010.3.363

Subjects:
Primary: 37D45 , 54C05 , 54C35‎

Keywords: chaos , equicontinuity

Rights: Copyright © 2010 Mathematical Sciences Publishers

Vol.3 • No. 4 • 2010
MSP
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