Relation between kneading matrices of a map and its iterates

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dc.contributor.authorGopalakrishna, C.
dc.contributor.authorMurugan, V.
dc.date.accessioned2026-02-05T09:29:09Z
dc.date.issued2020
dc.description.abstractIt 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.
dc.identifier.citationCommunications of the Korean Mathematical Society, 2020, 35, 2, pp. 571-589
dc.identifier.issn12251763
dc.identifier.urihttps://doi.org/10.4134/CKMS.c190255
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24163
dc.publisherKorean Mathematical Society kms@kms.or.kr
dc.subjectDynamical system
dc.subjectKneading determinant
dc.subjectKneading matrix
dc.subjectPiecewise monotone map
dc.titleRelation between kneading matrices of a map and its iterates

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