Computation of Invariant Tori by the Method of Characteristics

DOI10.1137/0732066zbMath0928.65154OpenAlexW2094313519MaRDI QIDQ4857620

Luca Dieci, Jens Lorenz

Publication date: 13 January 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0732066

zbMATH Keywords

algorithmconvergencecoupled oscillatorsinvariant manifoldsinstabilitiesforced van der Pol oscillatorgraph transforminvariant torusunderresolution

Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items

Angular Values of Nonautonomous Linear Dynamical Systems: Part II – Reduction Theory and Algorithm, Model reduction via parametrized locally invariant manifolds: Some examples, Geometric methods for computing invariant manifolds, A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS, Computing Arnol'd tongue scenarios, Numerical Computation of High-Order Expansions of Invariant Manifolds of High-Dimensional Tori, A NEWTON METHOD FOR LOCATING INVARIANT TORI OF MAPS, A geometrical method for the approximation of invariant tori, Estimates in discretizing normally hyperbolic compact invariant manifolds of ordinary differential equations, Exponential dichotomy on the real line: SVD and QR methods, Continuous Decompositions and Coalescing Eigenvalues for Matrices Depending on Parameters