On the structure of isentropes of polynomial maps
Dynamical Systems
2013-03-05 v1
Abstract
The structure of isentropes (i.e. level sets of constant topological entropy) including the monotonicity of entropy, has been studied for polynomial interval maps since the 1980s. We show that isentropes of multimodal polynomial families need not be locally connected and that entropy does in general not depend monotonically on a single critical value.
Keywords
Cite
@article{arxiv.1303.0497,
title = {On the structure of isentropes of polynomial maps},
author = {Henk Bruin and Sebastian van Strien},
journal= {arXiv preprint arXiv:1303.0497},
year = {2013}
}
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16 pages