A numerical method for computing initial conditions of Lagrangian invariant tori using the frequency map

DOI10.1016/j.physd.2016.02.014zbMath1364.65283OpenAlexW2295066694MaRDI QIDQ2357609

Jordi Villanueva, Alejandro Luque

Publication date: 14 June 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/89912

zbMATH Keywords

Hamiltonian systemssymplectic mapsderivatives of frequenciesquasi-periodic Lagrangian tori

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items

A new averaging-extrapolation method for quasi-periodic frequency refinement, Efficient and reliable algorithms for the computation of non-twist invariant circles, Rigorous computer-assisted application of KAM theory: a modern approach, A new approach to the parameterization method for Lagrangian tori of Hamiltonian systems, A Parameterization Method for Lagrangian Tori of Exact Symplectic Maps of $R^2r$

Uses Software

• Torcont

Cites Work

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