Identifying localized and spreading chaos in nonlinear disordered lattices by the Generalized Alignment Index (GALI) method

B Senyange, C Skokos - Physica D: Nonlinear Phenomena, 2022 - Elsevier
Abstract Implementing the Generalized Alignment Index (GALI) method of chaos detection
we investigate the dynamical behavior of the nonlinear disordered Klein–Gordon lattice …

Frequency Map Analysis of Spatiotemporal Chaos in the Nonlinear Disordered Klein–Gordon Lattice

C Skokos, E Gerlach, S Flach - International Journal of Bifurcation …, 2022 - World Scientific
We study the characteristics of chaos evolution of initially localized energy excitations in the
one-dimensional nonlinear disordered Klein–Gordon lattice of anharmonic oscillators, by …

Chaotic behaviour of disordered nonlinear lattices

B Senyange - arXiv preprint arXiv:2104.11696, 2021 - arxiv.org
This thesis focuses on the mechanisms of energy transport in multidimensional
heterogeneous lattice models, studying in particular the case of the Klein-Gordon model of …

Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems

BM Manda - arXiv preprint arXiv:2105.03685, 2021 - arxiv.org
We study the chaotic behavior of multidimensional Hamiltonian systems in the presence of
nonlinearity and disorder. It is known that any localized initial excitation in a large enough …