2 citations · 3 across the 3 of their papers we have counts for
4 papers
Some open billiards with distinct top Lyapunov exponents
Amal Al Dowais, Luchezar Stoyanov
We study open billiard flows in generated by reflections in the exterior of at least three ellipsoids with boundaries. Each obstacle is congruent to $$\tilde{K…
Differentiability of the largest Lyapunov exponent for non-planar open billiards
Amal Al Dowais
This paper investigates the behaviour of open billiard systems in high-dimensional spaces. Specifically, we estimate the largest Lyapunov exponent, which quantifies the rate of div…
Lyapunov Exponents for Open Billiards in the Exterior of Balls
Amal Al Dowais, Luchezar Stoyanov
In this paper we consider the billiard flow in the exterior of several (at least three) balls in with centres lying on a plane. We assume that the balls satisfy the no eclip…
Differentiability of the largest Lyapunov exponent for planar open billiards
Amal Al Dowais
In this paper, we estimate the largest Lyapunov exponent for open billiards in the plane. We show that the largest Lyapunov exponent is differentiable with respect to a billiard de…