Differentiability of the Largest Lyapunov Exponent for Non-Planar Open Billiards

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 divergence between nearby trajectories in a dynamical system. This exponent is shown to be continuous and differentiable wi...

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Bibliographic Details
Published in:Mathematics
Main Author: Amal Al Dowais
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Subjects:
open billiards
Lyapunov exponents
non-wandering set
billiard deformation
Online Access:https://www.mdpi.com/2227-7390/11/22/4633

Internet

https://www.mdpi.com/2227-7390/11/22/4633

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