Limit periodic functions, adding machines, and solenoids
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We prove that a stable adding machine invariant set for a homeomorphism of the plane is the limit of periodic points and also that a stable solenoid minimal invariant set for a three dimensional flow is the limit of periodic orbits. We give an example to show that a similar result is false in higher dimensions.
Key wordsDynamical systems almost periodic solenoid adding machin
Subject classifications34C35 34C27 54H20
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