Relation between kneading matrices of a map and its iterates
Commun. Korean Math. Soc.
Published online January 30, 2020
Chaitanya Gopalakrishna and Murugan Veerapazham
National Institute of Technology Karnataka, Surathkal, National Institute of Technology Karnataka
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.
MSC numbers : 37E05; 15A24
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