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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Plugging flows


Authors: Peter B. Percell and F. Wesley Wilson
Journal: Trans. Amer. Math. Soc. 233 (1977), 93-103
MSC: Primary 58F10
DOI: https://doi.org/10.1090/S0002-9947-1977-0448441-2
MathSciNet review: 0448441
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Abstract: A plug construction is a local modification of a nonsingular flow which severs certain kinds of recurrence properties. In this paper we investigate the effect of plug constructions on minimal sets, the nonwandering set, and the chain recurrent set and the explosions of these sets when a plug construction is perturbed.


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DOI: https://doi.org/10.1090/S0002-9947-1977-0448441-2
Keywords: Periodic solution, nonwandering set, chain recurrent set
Article copyright: © Copyright 1977 American Mathematical Society