Elastic Sturmian spirals in the Lorentz-Minkowski plane
Ali Uçum ; Kazım İlarslan ; Ivaïlo M. Mladenov
Open Mathematics, Tome 14 (2016), p. 1149-1156 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more details the generalized Sturmian spirals in the Lorentz-Minkowski plane which simultaneously are elastics in this space.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:288061 
@article{bwmeta1.element.doi-10_1515_math-2016-0103,
     author = {Ali U\c cum and Kaz\i m \.Ilarslan and Iva\"\i lo M. Mladenov},
     title = {Elastic Sturmian spirals in the Lorentz-Minkowski plane},
     journal = {Open Mathematics},
     volume = {14},
     year = {2016},
     pages = {1149-1156},
     zbl = {1356.53020},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0103}
}

Ali Uçum; Kazım İlarslan; Ivaïlo M. Mladenov. Elastic Sturmian spirals in the Lorentz-Minkowski plane. Open Mathematics, Tome 14 (2016) pp. 1149-1156. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0103/