Numerical approaches for investigating the chaotic behavior of multidimensional Hamiltonian systems

Abstract

We discuss various numerical approaches for studying the chaotic dynamics of multidimensional Hamiltonian systems, focusing our analysis on the chaotic evolution of initially localized energy excitations in the disordered Klein-Gordon oscillator chain in one spatial dimension.

arXiv comment4 pages, 4 figures. Paper appearing in the proceedings of the conference `From the nonlinear dynamical systems theory to observational chaos' (an event celebrating the 80+++th birthday of Otto E. Rössler), October 9-11, 2023, Toulouse, France