Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations

DOI10.1080/01630560802279249zbMath1161.34051OpenAlexW1987251212MaRDI QIDQ3532769

Johannes Schropp, Peter E. Kloeden

Publication date: 28 October 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802279249

zbMATH Keywords

asymptotic stabilityLyapunov functionsdelay differential equationsRunge-Kutta methods

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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• Ordinary and delay differential equations
• Introduction to functional differential equations
• Periodic orbits of delay differential equations under discretization
• Delay equations. Functional-, complex-, and nonlinear analysis
• Solving Ordinary Differential Equations I
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations
• Numerical Methods for Delay Differential Equations
• Discretizing hyperbolic periodic orbits of delay differential equations
• A Hartman-Grobman result for retarded functional differential equations with an application to the numerics around hyperbolic equilibria

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