Comparing the efficiency of numerical techniques for the integration of variational equations

zbMath1306.65286arXiv1008.1890MaRDI QIDQ2257852

Enrico Gerlach, Charlampos Skokos

Publication date: 2 March 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1890

zbMATH Keywords

chaosvariational equationsHénon-Heiles systemSALI methods

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical chaos (65P20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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Frequency Map Analysis of Spatiotemporal Chaos in the Nonlinear Disordered Klein–Gordon Lattice ⋮ Identifying localized and spreading chaos in nonlinear disordered lattices by the generalized alignment index (GALI) method ⋮ Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using \(q\)-statistics ⋮ Trajectories of \(L _{4}\) and Lyapunov characteristic exponents in the generalized photogravitational Chermnykh-like problem ⋮ Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions

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