On the influence of numerical preservation of invariants when simulating Hamiltonian relative periodic orbits

DOI10.1016/J.CAM.2011.09.014zbMath1237.65139OpenAlexW2162597215MaRDI QIDQ415208

A. Durán, Jorge Alvarez

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.09.014

zbMATH Keywords

symmetry groupsgeometric numerical integrationHamiltonian relative periodic orbitsinvariant preserving numerical methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Applications to the sciences (65Z05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Numerical methods for ordinary differential equations (65L99)

Cites Work

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• Error propagation in numerical approximations near relative equilibria
• A technique to improve the error propagation when integrating relative equilibria
• Solving Ordinary Differential Equations I
• Lectures on Mechanics
• The numerical integration of relative equilibrium solutions. Geometric theory
• Error Growth in the Numerical Integration of Periodic Orbits, with Application to Hamiltonian and Reversible Systems
• Hamiltonian Systems Near Relative Periodic Orbits

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