Algorithms for constructing stable manifolds of stationary solutions

DOI10.1093/imanum/19.3.375zbMath0947.65135OpenAlexW1995349520MaRDI QIDQ4261266

Gerald Moore, Evelyne Hubert

Publication date: 2 November 2000

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/19.3.375

zbMATH Keywords

algorithmsconvergencenumerical examplesautonomous systemsdirect methodsdiscrete dynamical systemstable manifoldsindirect methodsHadamard graph transformhyperbolic stationary solutionsLyapunov-Perron graph transform

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Dynamical systems with hyperbolic orbits and sets (37D05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (5)

Numerical approximations of strong (un)stable manifolds ⋮ Computation of stable and unstable manifolds of hyperbolic trajectories in two-dimensional, aperiodically time-dependent vector fields ⋮ A note on the convergence of parametrised non-resonant invariant manifolds ⋮ Laguerre approximation of stable manifolds with application to connecting orbits ⋮ Computation of nonautonomous invariant and inertial manifolds

Uses Software

• AUTO-86
• COLSYS

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