On positive permutation braid motivated by a pump-modulated ND-doped fiber laser
Abstract
In this paper we constructd the positive permutation braid of pump-modulated Nd-doped fiber laser dynamics and denoted it by $\beta _{n,k,r}^{+}$ . We study this braid as a permutation, then calculate its inversion matrix. The braid representatives $\beta _{n,k,r}^{+}$ of the orbits associated to a modulated Nd-doped fiber laser as a permutation are given. It is shown that pump-modulated Nd-doped fiber laser knots and links are positive permutation braid.
Copyright © 2018 M. Anis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Anis, On positive permutation braid motivated by a pump-modulated ND-doped fiber laser, J. Math. Comput. Sci. 8 (2018), 345–352. https://doi.org/10.28919/jmcs/3661
BibTeX
@article{Anis2018,
author = {Anis, M.},
title = {On positive permutation braid motivated by a pump-modulated ND-doped fiber laser},
journal = {J. Math. Comput. Sci.},
volume = {8},
year = {2018},
pages = {345--352},
doi = {10.28919/jmcs/3661}
}