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

Johnson, Russell A.

doi:10.1090/S0002-9939-1981-0612732-9

Two-dimensional, almost periodic linear systems with proximal and recurrent behavior
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Proc. Amer. Math. Soc. 82 (1981), 417-422 Request permission

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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