Application of the GALI Method to Localization Dynamics in Nonlinear Systems
Abstract
We investigate localization phenomena and stability properties of quasiperiodic oscillations in degree of freedom Hamiltonian systems and coupled symplectic maps. In particular, we study an example of a parametrically driven Hamiltonian lattice with only quartic coupling terms and a system of coupled standard maps. We explore their dynamics using the Generalized Alignment Index (GALI), which constitutes a recently developed numerical method for detecting chaotic orbits in many dimensions, estimating the dimensionality of quasiperiodic tori and predicting slow diffusion in a way that is faster and more reliable than many other approaches known to date.
Cite
@article{arxiv.0806.3563,
title = {Application of the GALI Method to Localization Dynamics in Nonlinear Systems},
author = {T. Bountis and T. Manos and H. Christodoulidi},
journal= {arXiv preprint arXiv:0806.3563},
year = {2015}
}
Comments
16 pages, 8 figures, submitted for publication in Journal of Computational and Applied Mathematics (Elsevier)