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math.DS1999
The Dynamics of Off-center Reflection
Thomas Kwok-keung Au
The dynamical properties, especially the symmetric orbits, of the 2-parameter family of circle maps called off-center reflection is studied.
math.DS1998
Off-center Reflections: Caustics and Chaos
Thomas Kwok-keung Au, Xiao-song Lin
In this article, we attempt to study the possible link between the dynamics of a circle map and the caustics of its iterations. The attention is on a geometrically defined off-cent…