𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A bound on the number of periodic orbits of certain piecewise linear maps

✍ Scribed by Manny Scarowsky; Abraham Boyarsky

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
151 KB
Volume
132
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Some Number Theoretical Aspects on Perio
Some Number Theoretical Aspects on Periodic Orbits of a Tent Map
✍ S.J. Doi πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 296 KB

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

New bounds on the edge number of a k-map
New bounds on the edge number of a k-map graph
✍ Zhi-Zhong Chen πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 310 KB πŸ‘ 1 views

## Abstract It is known that for every integer __k__ β‰₯ 4, each __k__‐map graph with __n__ vertices has at most __kn__ βˆ’ 2__k__ edges. Previously, it was open whether this bound is tight or not. We show that this bound is tight for __k__ = 4, 5. We also show that this bound is not tight for large en