A dynamical property unique to the Lucas sequence

Puri, Y.; Ward, T.

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.

Citation

Puri, Y., & Ward, T. (2001). A dynamical property unique to the Lucas sequence. The Fibonacci quarterly, 39(5), 398-402

• Journal Article Type: Article
• Publication Date: Jan 1, 2001
• Deposit Date: Oct 12, 2012
• Journal: The Fibonacci quarterly : the official journal of the Fibonacci Association.
• Print ISSN: 0015-0517
• Electronic ISSN: 2641-340X
• Publisher: Fibonacci Association
• Peer Reviewed: Peer Reviewed
• Volume: 39
• Issue: 5
• Pages: 398-402
• Public URL: https://durham-repository.worktribe.com/output/1502476
• Publisher URL: http://www.fq.math.ca/39-5.html