Some Number Theoretical Aspects on Periodic Orbits of a Tent Map

✍ Scribed by S.J. Doi

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 296 KB
• Volume: 14
• Category: Article
• ISSN: 0196-8858
• DOI: 10.1006/aama.1993.1004

✦ Synopsis

Some number theoretical aspects on periodic orbits of a one-dimensional dynamical system (x_{n+1}=f\left(x_{n}\right)) are presented, where (f(x)) is a special map called a tent map. Using the symbolic dynamical method, a certain number theoretical transformation and a subset of odd integers are introduced and discussed in connection with MSS sequences (or finite shift maximal sequences). 1993 Academic Press, Inc.