2 papers
math.OC2026
Dynamical Systems in Elliptical Pursuit and Evasion
Sota Yoshihara
This paper investigates the elliptical case of one-on-one pursuit and evasion problems. Using the simultaneous differential equations derived by Barton and Eliezer, we derive a dyn…
math.OC2024
Elliptical Pursuit and Evasion -Extended Version-
Sota Yoshihara
Many studies on one-on-one pursuit-evasion problems have shown that formulas about the pursuer's trajectory can be solved by supposing three conditions. First, the evader follows s…