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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Persistence definitions and their connections


Authors: H. I. Freedman and P. Moson
Journal: Proc. Amer. Math. Soc. 109 (1990), 1025-1033
MSC: Primary 34C35; Secondary 54H20, 58F25, 92A15
MathSciNet review: 1012928
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Abstract: We give various definitions of types of persistence of a dynamical system and establish a hierarchy among them by proving implications and demonstrating counterexamples. Under appropriate conditions, we show that several of the definitions are equivalent.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1012928-6
Article copyright: © Copyright 1990 American Mathematical Society