Application of the GALI method to localization dynamics in nonlinear systems

DOI10.1016/j.cam.2008.07.034zbMath1162.65061arXiv0806.3563OpenAlexW2013208941MaRDI QIDQ1012491

Tassos C. Bountis, Thanos Manos, Helen Christodoulidi

Publication date: 21 April 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3563

zbMATH Keywords

chaotic motionnumerical examplesHamiltonian systemsquasiperiodic motionsymplectic mapsdiscrete breathersstandard mapmethodchaotic orbitsdimension of toriGeneralized Alignment Index (GALI)

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (7)

DISCRETE SYMMETRY AND STABILITY IN HAMILTONIAN DYNAMICS ⋮ Anomalous diffusion in single and coupled standard maps with extensive chaotic phase spaces ⋮ Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method ⋮ On the Behavior of the Generalized Alignment Index (GALI) Method for Regular Motion in Multidimensional Hamiltonian Systems ⋮ Scaling with System Size of the Lyapunov Exponents for the Hamiltonian Mean Field Model ⋮ EFFICIENT INTEGRATION OF THE VARIATIONAL EQUATIONS OF MULTIDIMENSIONAL HAMILTONIAN SYSTEMS: APPLICATION TO THE FERMI–PASTA–ULAM LATTICE ⋮ PROBING THE LOCAL DYNAMICS OF PERIODIC ORBITS BY THE GENERALIZED ALIGNMENT INDEX (GALI) METHOD

Cites Work

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• Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method
• Alignment indices: a new, simple method for determining the ordered or chaotic nature of orbits
• The Fermi–Pasta–Ulam problem: Fifty years of progress
• Discrete breathers in Fermi–Pasta–Ulam lattices

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