Limit periodic functions, adding machines, and solenoids
- Cite this article as:
- Bell, H. & Meyer, K.R. J Dyn Diff Equat (1995) 7: 409. doi:10.1007/BF02219369
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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.