Numerical integration of variational equations for Hamiltonian systems with long range interactions

DOI10.1016/j.apnum.2015.08.009zbMath1336.65196arXiv1508.07587OpenAlexW1900099565MaRDI QIDQ268868

Helen Christodoulidi, Lambros Drossos, Tassos C. Bountis

Publication date: 15 April 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07587

zbMATH Keywords

Hamiltonian systemsequations of motionlong range interactionsvariational equationssymplectic integrationLyapunov exponent

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (3)

Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance ⋮ An efficient Hamiltonian numerical model for a fractional Klein-Gordon equation through weighted-shifted Grünwald differences ⋮ A numerically efficient Hamiltonian method for fractional wave equations

Cites Work

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• On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
• Possible generalization of Boltzmann-Gibbs statistics.
• Introduction to Nonextensive Statistical Mechanics
• Metastable states in a class of long-range Hamiltonian systems

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