Numerical continuation of Hamiltonian relative periodic orbits

DOI10.1007/s00332-008-9026-xzbMath1168.37014OpenAlexW1972613963MaRDI QIDQ1015417

Andreas Schebesch, Claudia Wulff

Publication date: 8 May 2009

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://epubs.surrey.ac.uk/806391/1/WulffSchebesch.pdf

zbMATH Keywords

Hamiltonian systemsbifurcation theorynumerics of periodic orbits

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (3)

Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics ⋮ Periodic solutions of theN-body problem with Lennard-Jones-type potentials ⋮ From the Lagrange polygon to the figure eight. I: Numerical evidence extending a conjecture of Marchal

Uses Software

• NewtonLib
• ALCON

Cites Work

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