Normal hyperbolicity for flows and numerical methods

DOI10.1216/rmjm/1030539620zbMath1031.37027OpenAlexW2060533671MaRDI QIDQ1414950

Ming-Chia Li

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol32-1/CONT32-1/CONT32-1.html

zbMATH Keywords

numerical methodflowinvariant manifoldnormally hyperbolic manifold

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (1)

Stability of a saddle node bifurcation under numerical approximations

Cites Work

• \(C^r\) stability of periodic solutions and solution schemes
• Invariant curves of one-step methods
• Structural stability of \(C^1\) diffeomorphisms
• Structural stability of flows under numerics
• On invariant closed curves for one-step methods
• A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
• Stable and Random Motions in Dynamical Systems
• Invariant curves for numerical methods
• Periodic solutions of finite difference equations
• Structural stability on basins for numerical methods
• Structural Stability for the Euler Method
• Structural Stability of Morse--Smale Gradient-like Flows under Discretizations
• Invariant manifolds
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