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arXiv.org e-Print Archive
Preprint . 1999
Data sources: arXiv.org e-Print Archive
The Fibonacci Quarterly
Article . 2001 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 1999
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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A Dynamical Property Unique to the Lucas Sequence

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Nov 2001Embargo end date: 01 Jan 1999 English Publisher:Informa UK LimitedJournal:The Fibonacci Quarterly, volume 39, pages 398-402 (issn: 0015-0517, eissn: 2641-340X, Copyright policy )
Authors: Puri, Y.; Ward, T.;

doi: 10.1080/00150517.2001.12428694 , 10.48550/arxiv.math/9907015

arXiv: http://arxiv.org/abs/math/9907015

A Dynamical Property Unique to the Lucas Sequence

Abstract

The only recurrence sequence satisfying the Fibonacci recurrence and realizable as the number of periodic points of a map is (a multiple of) the Lucas sequence.

9 pages

Related Organizations
Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 11B39, 58F20

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
Green
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