Multistability in a system of two coupled oscillators with delayed feedback (Q1993976)
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scientific article; zbMATH DE number 6973901
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multistability in a system of two coupled oscillators with delayed feedback |
scientific article; zbMATH DE number 6973901 |
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Multistability in a system of two coupled oscillators with delayed feedback (English)
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6 November 2018
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The author considers an infinite-dimensional dynamical system associated to two weakly coupled oscillators with nonlinear compactly supported delayed feedback. In fact, he studies a family of such systems depending on a large parameter. In order to study the existence and stability of relaxation periodic orbits of this dynamical system, the author is able to construct a finite dimensional mapping and to prove that the initial problem is equivalent to study the dynamics of this mapping. Asymptotic formulas of these relaxation periodic solutions were constructed.
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delay
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large parameter
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relaxation oscillation
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nonlocal dynamics
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periodic solution
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asymptotics
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