DSpace Arşivi :: by Yazar "Mladenov, Ivailo M." değerine göre listeleniyor

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Elastic Sturmian spirals in the Lorentz-Minkowski plane
(De Gruyter Poland Sp Zoo, 2016) Ucum, Ali; Ilarslan, Kazim; Mladenov, Ivailo M.
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.
Sturmian Spirals In Lorentz-Minkowski Plane
(Inst Biophysics & Biomedical Engineering, Bulgarian Acad Sciences, 2015) Ilarslan, Kazim; Ucum, Ali; Mladenov, Ivailo M.
The Sturm spirals which can be introduced as those plane curves whose curvature radius is equal to the distance from the origin are embedded in to one parameter family of curves. In this paper, we consider the spacelike and timelike Sturmian spirals in Lorentz-Minkowski plane.