Differentiability of the largest Lyapunov exponent for planar open billiards
Amal Al Dowais
Abstract
Open-access reader
Amal Al Dowais
Abstract
Open-access reader
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 deformation.
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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 deformation.
Key concepts: Dynamical billiards, Lyapunov exponent, Differentiable function, Exponent, Mathematics, Planar, Plane (geometry), Mathematical analysis