Frequency Map Analysis of Spatiotemporal Chaos in the Nonlinear Disordered Klein–Gordon Lattice
DOI10.1142/S0218127422500742zbMath1497.37093arXiv2112.04190MaRDI QIDQ5072447
Charalampos Skokos, Sergej Flach, Enrico Gerlach
Publication date: 28 April 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.04190
Anderson localizationspatiotemporal chaosdisordered systemHamiltonian latticefrequency map analysisselftrappingweak and strong chaos
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Lattice dynamics; integrable lattice equations (37K60) Chaos control for problems involving ordinary differential equations (34H10)
Cites Work
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- The measure of chaos by the numerical analysis of the fundamental frequencies. Applications to the standard mapping
- Frequency analysis for multi-dimensional systems. Global dynamics and diffusion
- Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using \(q\)-statistics
- New families of symplectic splitting methods for numerical integration in dynamical astronomy
- Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems
- Comparing the efficiency of numerical techniques for the integration of variational equations
- Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions
- Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method
- 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
- Lyapunov Exponents
- Almost compact moving breathers with fine-tuned discrete time quantum walks
- EFFICIENT INTEGRATION OF THE VARIATIONAL EQUATIONS OF MULTIDIMENSIONAL HAMILTONIAN SYSTEMS: APPLICATION TO THE FERMI–PASTA–ULAM LATTICE
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