Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Two-dimensional, almost periodic linear systems with proximal and recurrent behavior
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by Russell A. Johnson
Proc. Amer. Math. Soc. 82 (1981), 417-422
DOI: https://doi.org/10.1090/S0002-9939-1981-0612732-9

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.
References
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Bibliographic Information
  • © Copyright 1981 American Mathematical Society
  • 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