ATTRACTING SETS IN COCYCLE DELAY DIFFERENTIAL EQUATIONS AND IN THEIR RUNGE–KUTTA DISCRETIZATIONS

DOI10.1142/S0219493704001140zbMath1061.65068MaRDI QIDQ4822537

Johannes Schropp

Publication date: 25 October 2004

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

delay differential equationsRunge-Kutta methodspullback attractorsone-step methodscocycle systemsLapunov functions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Attractors of solutions to ordinary differential equations (34D45)

Cites Work

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• Attractors for random dynamical systems
• Periodic orbits of delay differential equations under discretization
• Solving Ordinary Differential Equations I
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations
• Numerical Methods for Delay Differential Equations
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Discretizing hyperbolic periodic orbits of delay differential equations
• Attractors for differential equations with variable delays

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