Author:
Barge Marcy,Swanson Richard
Abstract
AbstractWe define the notions of the pseudo-rotation set and rotation shadowing of pseudo-orbits for endomorphisms of the circle and for homeomorphisms of the annulus. The results include: the rotation shadowing property holds for all endomorphisms of the circle; the pseudo-rotation set equals the closure of the rotation set; the closure of the rotation set varies upper-semicontinuously.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
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