A state-dependent delay equation with chaotic solutions
We exhibit a scalar-valued state-dependent delay differential equation \[ x'(t) = f(x(t - d(x_t))) \] that has a chaotic solution. This equation has continuous (semi-strictly) monotonic negative feedback, and the quantity $t - d(x_t)$ is strictly increasing along solutions.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2019-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7246 |