Invariant manifolds for nonautonomous systems with application to one-step methods

DOI10.1023/A:1022649128982zbMath0908.34035OpenAlexW178112002MaRDI QIDQ1271031

Wolf-Jürgen Beyn, Yongkui Zou

Publication date: 23 March 1999

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022649128982

zbMATH Keywords

invariant manifoldshomoclinic orbitscenter manifoldssaddle-nodenonautonomous systemsone-step methodscentered Euler scheme

Mathematics Subject Classification ID

Topological dynamics (37B99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Invariant manifolds for ordinary differential equations (34C45) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

Convergence rates of perturbed attracting sets with vanishing perturbation ⋮ Integral manifolds under explicit variable time-step discretization ⋮ Backward error analysis of a full discretization scheme for a class of semilinear parabolic partial differential equations

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