Quantifying chaos using Lagrangian descriptors

M Hillebrand, S Zimper, A Ngapasare… - … Journal of Nonlinear …, 2022 - pubs.aip.org
We present and validate simple and efficient methods to estimate the chaoticity of orbits in
low-dimensional conservative dynamical systems, namely, autonomous Hamiltonian …

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 …

Chaotic wave-packet spreading in two-dimensional disordered nonlinear lattices

B Many Manda, B Senyange, C Skokos - Physical Review E, 2020 - APS
We reveal the generic characteristics of wave-packet delocalization in two-dimensional
nonlinear disordered lattices by performing extensive numerical simulations in two basic …

Fermi–Pasta–Ulam–Tsingou recurrence in two-core optical fibers

JH Li, HM Yin, KS Chiang, KW Chow - Physica D: Nonlinear Phenomena, 2022 - Elsevier
Abstract The Fermi–Pasta–Ulam–Tsingou recurrence (FPUT) refers to the property of a multi-
mode nonlinear system to return to the initial states after complex stages of evolution. FPUT …

Effects of interplay between disorder and anharmonicity on heat conduction

J Zhu, Y Liu, D He - Physical Review E, 2021 - APS
Heat conduction through a disordered Fermi-Pasta-Ulam-β (DFPU-β) chain is studied. The
presence of disorder makes the heat current behave significantly different from that of the …

Wave-packet spreading in disordered soft architected structures

A Ngapasare, G Theocharis, O Richoux… - … Journal of Nonlinear …, 2022 - pubs.aip.org
We study the dynamical and chaotic behavior of a disordered one-dimensional elastic
mechanical lattice, which supports translational and rotational waves. The model used in …

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 …

Chaos and thermalization in a classical chain of dipoles

M Iñarrea, R González-Férez, JP Salas, P Schmelcher - Physical Review E, 2022 - APS
We explore the connection between chaos, thermalization, and ergodicity in a linear chain of
N interacting dipoles. Starting from the ground state, and considering chains of different …

Effects of coupling coefficient dispersion on the Fermi-Pasta-Ulam-Tsingou recurrence in two-core optical fibers

JH Li, HM Yin, KS Chiang, KW Chow - Optics Communications, 2024 - Elsevier
In a two-core optical fiber (TCF), the linear coupling coefficient between the two cores in
general varies with the optical wavelength, a phenomenon known as coupling coefficient …

Wave propagation in a strongly disordered one-dimensional phononic lattice supporting rotational waves

A Ngapasare, G Theocharis, O Richoux, C Skokos… - Physical Review B, 2020 - APS
We investigate the dynamical properties of a strongly disordered micropolar lattice made up
of cubic block units. This phononic lattice model supports both transverse and rotational …