[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c190255

RELATION BETWEEN KNEADING MATRICES OF A MAP AND ITS ITERATES

Gopalakrishna, Chaitanya (Department of Mathematical and Computational Sciences National Institute of Technology Karnataka Suarthkal)
Veerapazham, Murugan (Department of Mathematical and Computational Sciences National Institute of Technology Karnataka Suarthkal)

Publication Information

Communications of the Korean Mathematical Society / v.35, no.2, 2020 , pp. 571-589 More about this Journal

Abstract

It is known that the kneading matrix associated with a continuous piecewise monotone self-map of an interval contains crucial combinatorial information of the map and all its iterates, however for every iterate of such a map we can associate its kneading matrix. In this paper, we describe the relation between kneading matrices of maps and their iterates for a family of chaotic maps. We also give a new definition for the kneading matrix and describe the relationship between the corresponding determinant and the usual kneading determinant of such maps.

Keywords

Dynamical system; piecewise monotone map; kneading matrix; kneading determinant;

Citations & Related Records

Reference

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