Stable Attracting Sets in Delay Differential Equations and in Their Runge–Kutta Discretizations
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| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Kloeden, Peter E.; Schropp, Johannes |
| Year of publication: | 2008 |
| Published in: | Numerical Functional Analysis and Optimization ; 29 (2008), 7-8. - pp. 791-801. - ISSN 0163-0563. - eISSN 1532-2467 |
| DOI (citable link): | https://dx.doi.org/10.1080/01630560802279249 |
| Summary: |
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.
|
| Subject (DDC): | 510 Mathematics |
| Keywords: | Delay differential equations, Lyapunov functions, Runge–Kutta methods |
| Bibliography of Konstanz: | Yes |
| Refereed: | Unknown |
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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. 29(7-8), pp. 791-801. ISSN 0163-0563. eISSN 1532-2467. Available under: doi: 10.1080/01630560802279249
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