Estimates in discretizing normally hyperbolic compact invariant manifolds of ordinary differential equations

DOI10.1016/S0898-1221(01)00225-5zbMath0986.37077OpenAlexW2031910401MaRDI QIDQ5948886

Barnabas M. Garay

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00225-5

zbMATH Keywords

normally hyperbolic invariant manifoldsone step discretizationspersistence of invariant manifolds under discretizations

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Approximation methods and numerical treatment of dynamical systems (37M99) Numerical problems in dynamical systems (65P99)

Related Items (3)

A BRIEF SURVEY ON THE NUMERICAL DYNAMICS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS ⋮ The operator of inversion as an everywhere continuous nowhere differentiable function ⋮ Stability of a saddle node bifurcation under numerical approximations

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