Closed braids and knot holders associated to some laser dynamical systems: A pump-modulated Nd-doped Â…ber laser

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 12, Issue 12

Abstract

In this work the arising knots and links for the pump-modulated Nd-doped fiber laser is investigated. For the associated templates, some of their topological invariants, such as braid linking matrix, braid words, crossing number and linking number, are studied. It is recognized that the derived topological invariants are quietly dependent on the control parameters Using the tools of the braid theory, it is shown that pump-modulated Nd-doped fiber laser knots and links are positive fibered knots and links.

Authors and Affiliations

Elsaued Elrifai

Keywords

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  • EP ID EP651723
  • DOI 10.24297/jam.v12i12.4367
  • Views 140
  • Downloads 0

How To Cite

Elsaued Elrifai (2017). Closed braids and knot holders associated to some laser dynamical systems: A pump-modulated Nd-doped Â…ber laser. JOURNAL OF ADVANCES IN MATHEMATICS, 12(12), 6894-6900. https://europub.co.uk/articles/-A-651723