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A recycled characterization of kneading sequences
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7158-5865
1999 (English)In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, ISSN 0218-1274, Vol. 9, no 9, 1883-1887 p.Article in journal (Refereed) Published
Abstract [en]

For any infinite sequence E on two symbols one can define two sequences of positive integers S(E) (the splitting times) and T(E) (the cosplitting times), which each describe the self-replicative structure of E. If E is the kneading sequence of a unimodal map, it is known that S(E) and T(E) carry a lot of information on the dynamics, and that they are disjoint. We show the reverse implication: A nonperiodic sequence E is the kneading sequence of some unimodal map if the sequences S(E) and T(E) are disjoint.

Place, publisher, year, edition, pages
World Scientific, 1999. Vol. 9, no 9, 1883-1887 p.
Keyword [en]
Unimodal dynamical systems, kneading theory
National Category
Other Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-190142DOI: 10.1142/S0218127499001371ISI: 000083733300021OAI: oai:DiVA.org:kth-190142DiVA: diva2:951767
Note

QC 20160810

Available from: 2016-08-10 Created: 2016-08-10 Last updated: 2016-08-18Bibliographically approved
In thesis
1. Some Problems in Unimodal Dynamics
Open this publication in new window or tab >>Some Problems in Unimodal Dynamics
1996 (English)Doctoral thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, Royal Institute of Technology, 1996
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
urn:nbn:se:kth:diva-190804 (URN)
Public defence
1996-12-16, D3, Lindstedtsvägen 5, Stockholm, 10:00 (English)
Opponent
Supervisors
Available from: 2016-08-18 Created: 2016-08-16 Last updated: 2016-08-18Bibliographically approved

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