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Spectral methods in computing invariant tori

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Publication:1567646
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DOI10.1016/S0168-9274(99)00133-6zbMath0954.65090OpenAlexW2000712941WikidataQ127110523 ScholiaQ127110523MaRDI QIDQ1567646

Manfred R. Trummer

Publication date: 21 June 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00133-6


zbMATH Keywords

Newton's methoddynamical systemsinvariant manifoldshooting methodspectral methodsinvariant torusVan der Pol oscillator


Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)


Related Items

A NEWTON METHOD FOR LOCATING INVARIANT TORI OF MAPS ⋮ A geometrical method for the approximation of invariant tori ⋮ Preconditioning for a class of spectral differentiation matrices



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