Elastic Sturmian spirals in the Lorentz-Minkowski plane

Mladenov, Ivailo M./0000-0001-5577-5741WOS: 000393621700001In 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.TUBITAKTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); TUBITAK (The Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [2221]The first author would like to thank TUBITAK for the financial support during his PhD study. The third named author is partially supported by TUBITAK (The Scientific and Technological Research Council of Turkey) within the frame of Programme 2221