Poincaré inverse problem and torus construction in phase space

DOI10.1016/J.PHYSD.2015.10.011zbMath1364.37127arXiv1403.0395OpenAlexW2963012877MaRDI QIDQ2357461

Mikko Kaasalainen, Teemu Laakso

Publication date: 13 June 2017

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

Full work available at URL: https://arxiv.org/abs/1403.0395

zbMATH Keywords

invariant torusnear integrabilitytorus constructiongeometric inverse problemsPoincaré inverse problemsurface construction in \(N\) dimensions

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Uses Software

• Torcont

Cites Work

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• Canonical methods of constructing invariant tori by phase-space sampling
• Dynamical tomography of gravitationally bound systems
• Elliptical galaxies with separable potentials
• Close approximations to invariant tori in nonlinear mechanics
• Continuation of Quasi-periodic Invariant Tori

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