Set-oriented numerical computation of rotation sets
نویسندگان
چکیده
منابع مشابه
Set-oriented Numerical Computation of Rotation Sets
We establish a set-oriented algorithm for the numerical approximation of the rotation set of homeomorphisms of the two-torus homotopic to the identity. A theoretical background is given by the concept of ε-rotation sets. These are obtained by replacing orbits with ε-pseudo-orbits in the definition of the Misiurewicz-Ziemian rotation set and are shown to converge to the latter as ε decreases to ...
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ژورنال
عنوان ژورنال: Journal of Computational Dynamics
سال: 2017
ISSN: 2158-2491
DOI: 10.3934/jcd.2017004