Ahmed, M., Elmahdy, A. (2015). On positive braids motivated by Rossler dynamical system. test, 23(3), 490-493. doi: 10.1016/j.joems.2014.11.001
M. Anis, E. Ahmed; Atef Ibrahim Elmahdy. "On positive braids motivated by Rossler dynamical system". test, 23, 3, 2015, 490-493. doi: 10.1016/j.joems.2014.11.001
Ahmed, M., Elmahdy, A. (2015). 'On positive braids motivated by Rossler dynamical system', test, 23(3), pp. 490-493. doi: 10.1016/j.joems.2014.11.001
Ahmed, M., Elmahdy, A. On positive braids motivated by Rossler dynamical system. test, 2015; 23(3): 490-493. doi: 10.1016/j.joems.2014.11.001

On positive braids motivated by Rossler dynamical system

Journal of the Egyptian Mathematical Society
Volume 23, Issue 3, 2015, Pages 490-493    PDF (940.94 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.11.001
Authors
M. Anis, E. Ahmed* ; Atef Ibrahim Elmahdy
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
KEYWORDS Braid groups; Knots; Positive braid; Rossler dynamical system
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