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Proceedings of the American Mathematical Society

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

 

 

Two-dimensional, almost periodic linear systems with proximal and recurrent behavior


Author: Russell A. Johnson
Journal: Proc. Amer. Math. Soc. 82 (1981), 417-422
MSC: Primary 34C27; Secondary 34A30, 54H20
DOI: https://doi.org/10.1090/S0002-9939-1981-0612732-9
MathSciNet review: 612732
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Abstract: We prove that there exist two-dimensional, almost periodic linear systems, with arbitrary basis of frequencies, the angular coordinates of whose solutions have both proximal and recurrent behavior. Such behavior is completely unlike that of any periodic system.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0612732-9
Article copyright: © Copyright 1981 American Mathematical Society