Open AccessOn positive braids motivated by Rossler dynamical system
Author(s) -
Mona Anis,
E. Ahmed,
Atef Ibrahim Elmahdy
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.11.001
Subject(s) - braid , mathematics , combinatorics , genus , permutation (music) , braid theory , pure mathematics , braid group , discrete mathematics , physics , botany , materials science , acoustics , composite material , biology
Rossler positive braids are defined and denoted by Rm+. We represented a general form of Rossler positive braid, and its associated permutation. For the m period Rossler positive braid Rm+, the number of crossing equals to [2(m-2)+(m-1)], and the genus g (Rm+)=(m-2), it also has a braid index equals to m, m>1