Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using \(q\)-statistics

DOI10.1016/j.chaos.2017.08.005zbMath1380.82029arXiv1705.06127OpenAlexW2614519033MaRDI QIDQ1694051

Charalampos Skokos, Sergej Flach, Chris G. Antonopoulos, Tassos C. Bountis

Publication date: 1 February 2018

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06127

zbMATH Keywords

chaotic dynamics\(q\)-GaussianTsallis entropyquasi-periodic motionwave packet spreading\(q\)-statisticsKlein-Gordon nonlinear latticessubdiffusive regime

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items (4)

Frequency Map Analysis of Spatiotemporal Chaos in the Nonlinear Disordered Klein–Gordon Lattice ⋮ Relativistic particle in thermal non-equilibrium ⋮ Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method ⋮ Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions

Cites Work

• Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Comparing the efficiency of numerical techniques for the integration of variational equations
• Complex statistics and diffusion in nonlinear disordered particle chains
• Nonlinear lattice waves in heterogeneous media
• WAVE INTERACTIONS IN LOCALIZING MEDIA — A COIN WITH MANY FACES
• KAM TORI AND ABSENCE OF DIFFUSION OF A WAVE-PACKET IN THE 1D RANDOM DNLS MODEL
• EFFICIENT INTEGRATION OF THE VARIATIONAL EQUATIONS OF MULTIDIMENSIONAL HAMILTONIAN SYSTEMS: APPLICATION TO THE FERMI–PASTA–ULAM LATTICE
• Energy spreading in strongly nonlinear disordered lattices
• Nonlinear dynamics: materials, theory and experiments. Selected lectures, 3rd Dynamics Days South America, Valparaiso, Chile, November 3--7, 2014

This page was built for publication: Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using \(q\)-statistics