On positive braids motivated by Rossler dynamical system

Document Type : Original Article

Authors

Department of Mathematics, Faculty of Science, Mansoura University, 35516, Egypt

Abstract

Rossler positive braids are defined and denoted by Rþ
m. We represented a general form of
Rossler positive braid, and its associated permutation. For the m period Rossler positive braid Rþ
m,
the number of crossing equals to ½2ðm  2Þþðm  1Þ, and the genus g ðRþ
mÞ¼ðm  2Þ, it also has a
braid index equals to m, m > 1. 

Keywords