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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Criteria for regionally recurrent flows


Author: Saber Elaydi
Journal: Proc. Amer. Math. Soc. 85 (1982), 461-464
MSC: Primary 54H20; Secondary 54H15, 58F25
MathSciNet review: 656124
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Abstract: Regionally recurrent and $ P$-regionally recurrent flows are characterized in purely prolongational notions. An example is given to show that the condition $ x \in J(x)$ is not, as many authors asserted, equivalent to regional recurrence.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0656124-6
PII: S 0002-9939(1982)0656124-6
Keywords: Regional recurrence, replete semigroups, prolongation, extensive set, nonwandering
Article copyright: © Copyright 1982 American Mathematical Society