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 | References | Similar Articles | Additional Information

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