Publikation: Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations
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2008
Autor:innen
Kloeden, Peter E.
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Numerical Functional Analysis and Optimization. 2008, 29(7-8), pp. 791-801. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630560802279249
Zusammenfassung
We show that for sufficiently small step sizes, a Runge–Kutta discretization of an autonomous delay differential equation with a uniformly asymptotically stable compact attracting set of arbitrary shape possesses an attracting set located close to that of the original system.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Delay differential equations, Lyapunov functions, Runge–Kutta methods
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KLOEDEN, Peter E., Johannes SCHROPP, 2008. Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations. In: Numerical Functional Analysis and Optimization. 2008, 29(7-8), pp. 791-801. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630560802279249BibTex
@article{Kloeden2008-09-11Stabl-43198,
year={2008},
doi={10.1080/01630560802279249},
title={Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations},
number={7-8},
volume={29},
issn={0163-0563},
journal={Numerical Functional Analysis and Optimization},
pages={791--801},
author={Kloeden, Peter E. and Schropp, Johannes}
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