Gopalakrishna, C.Murugan, V.2026-02-052020Communications of the Korean Mathematical Society, 2020, 35, 2, pp. 571-58912251763https://doi.org/10.4134/CKMS.c190255https://idr.nitk.ac.in/handle/123456789/24163It 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. ©2020 Korean Mathematical Society.Dynamical systemKneading determinantKneading matrixPiecewise monotone map