[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2021.34.1.77

MEASURE OF MAXIMAL ENTROPY FOR STAR MULTIMODAL MAPS

Attarzadeh, Fatemeh (Department of Mathematics Faculty of Mathematical Sciences Tarbiat Modares University)
Tajbakhsh, Khosro (Department of Mathematics Faculty of Mathematical Sciences Tarbiat Modares University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.34, no.1, 2021 , pp. 77-84 More about this Journal

Abstract

Let f : [0, 1] → [0, 1] be a multimodal map with positive topological entropy. The dynamics of the renormalization operator for multimodal maps have been investigated by Daniel Smania. It is proved that the measure of maximal entropy for a specific category of Cr interval maps is unique.

Keywords

Multimodal map; topological entropy; measure of maximal entropy; Buzzi-Hofbauer diagram;

Citations & Related Records

Reference

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