A state-dependent delay equation with chaotic solutions

Kennedy, Benjamin B. and Mao, Yiran and Wendt, Erik L.: A state-dependent delay equation with chaotic solutions. Electronic journal of qualitative theory of differential equations 22. pp. 1-20. (2019)

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Abstract

We exhibit a scalar-valued state-dependent delay differential equation x 0 (t) = f(x(t − d(xt))) that has a chaotic solution. This equation has continuous (semi-strictly) monotonic negative feedback, and the quantity t − d(xt) is strictly increasing along solutions.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 22
Page Range: pp. 1-20
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.22
Uncontrolled Keywords: Differenciálegyenlet - késleltetett
Additional Information: Bibliogr.: p. 19-20. ; összefoglalás angol nyelven
Date Deposited: 2019. May. 31. 05:31
Last Modified: 2019. May. 31. 05:31
URI: http://acta.bibl.u-szeged.hu/id/eprint/58095

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