Canonical methods of constructing invariant tori by phase-space sampling

DOI10.1016/j.physd.2012.09.010zbMath1352.70047arXiv1402.7249OpenAlexW1991369727MaRDI QIDQ1938927

Teemu Laakso, Mikko Kaasalainen

Publication date: 26 February 2013

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

Full work available at URL: https://arxiv.org/abs/1402.7249

zbMATH Keywords

galaxiesinvariant torusnear integrabilityStäckel potentialtorus construction

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (1)

Poincaré inverse problem and torus construction in phase space

Cites Work

• Unnamed Item
• On the vertical families of two-dimensional tori near the triangular points of the bicircular problem
• Integrability of hamiltonian systems on cantor sets
• Elliptical galaxies with separable potentials
• Close approximations to invariant tori in nonlinear mechanics
• Construction of Invariant Tori and Integrable Hamiltonians
• Invariant curves near Hamiltonian–Hopf bifurcations of four-dimensional symplectic maps
• Relative Periodic Solutions of the Complex Ginzburg--Landau Equation

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