The escaping disaster: A problem related to state-dependent delays |
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| Authors: | Email author" target="_blank">Marcus R W?MartinEmail author Martin?Büger |
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| Institution: | (1) Mathematisches Institut, Justus-Liebig-Universität Gießen, Arndtstraße 2, 35394 Gießen, Germany;(2) Mathematisches Institut, Justus-Liebig-Universität Gießen, Arndtstraße 2, 35394 Gießen, Germany |
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| Abstract: | We study a second order state-dependent delay equation
with an in general unbounded delay that describes an idealized
one-dimensional motion. Although governed by a negative feedback
mechanism, the set of equilibria, formed by the so called constant
velocity solutions, is unstable and a new kind of instability,
called the escaping instability, evolves. |
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| Keywords: | Primary 34K15 Secondary 34K35 58F13 |
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