45 citations · 270 across the 37 of their papers we have counts for
4 papers · 1 filter
Kosambi-Cartan-Chern (KCC) theory for higher order dynamical systems
Tiberiu Harko, Praiboon Pantaragphong, Sorin V. Sabau
The Kosambi-Cartan-Chern (KCC) theory represents a powerful mathematical method for the investigation of the properties of dynamical systems. The KCC theory introduces a geometric…
A new perspective on the Kosambi-Cartan-Chern theory, and its applications
Tiberiu Harko, Praiboon Pantaragphong, Sorin Sabau
A powerful mathematical method for the investigation of the properties of dynamical systems is represented by the Kosambi-Cartan-Chern (KCC) theory. In this approach the time evolu…
The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions
Sorin V. Sabau
We show that the co-rays to a ray in a complete non-compact Finsler manifold contain geodesic segments to upper level sets of Busemann functions. Moreover, we characterise the co-p…
The geometry of a Randers rotational surface
Pakkinee Chitsakul, Rattanasak Hama, Sorin V. Sabau
We study the behavior of geodesics on a Randers surface of revolution. The main tool is the extension of Clairaut relation from Riemannian case to the Randers case. Moreover, we sh…