A recycled characterization of kneading sequences
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
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.
Unimodal dynamical systems, kneading theory
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-190142DOI: 10.1142/S0218127499001371ISI: 000083733300021OAI: oai:DiVA.org:kth-190142DiVA: diva2:951767
QC 201608102016-08-102016-08-102016-08-18Bibliographically approved