Franco Daniel and Guiver Chris and Logemann Hartmut and Perán Juan: On the global attractor of delay differential equations with unimodal feedback not satisfying the negative Schwarzian derivative condition. (2020)
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Abstract
We study the size of the global attractor for a delay differential equation with unimodal feedback. We are interested in extending and complementing a dichotomy result by Liz and Röst, which assumed that the Schwarzian derivative of the nonlinear feedback is negative in a certain interval. Using recent stability results for difference equations, we obtain a stability dichotomy for the original delay differential equation in the situation wherein the Schwarzian derivative of the nonlinear term may change sign. We illustrate the applicability of our results with several examples.
| Item Type: | Journal |
|---|---|
| Other title: | Honoring the career of Jeffrey R. L. Webb on the occasion of his seventy-fifth birthday |
| Publication full: | Electronic journal of qualitative theory of differential equations : special edition |
| Date: | 2020 |
| Volume: | 4 |
| Number: | 76 |
| ISSN: | 1417-3875 |
| Number of Pages: | 15 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2020.1.76 |
| Uncontrolled Keywords: | Differenciálegyenlet - késleltetett |
| Additional Information: | Bibliogr.: p. 14-15. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 12. 10:56 |
| Last Modified: | 2021. Nov. 12. 10:56 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73766 |
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