Delayed feedback control and bifurcation analysis of an autonomy system (Q369734)
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scientific article; zbMATH DE number 6209189
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Delayed feedback control and bifurcation analysis of an autonomy system |
scientific article; zbMATH DE number 6209189 |
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Delayed feedback control and bifurcation analysis of an autonomy system (English)
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19 September 2013
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Summary: An autonomy system with time-delayed feedback is studied by using the theory of functional differential equation and Hassard's method; the conditions on which zero equilibrium exists and Hopf bifurcation occurs are given, the qualities of the Hopf bifurcation are also studied. Finally, several numerical simulations are given; which indicate that when the delay passes through certain critical values, chaotic oscillation is converted into a stable state or a stable periodic orbit.
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theory of functional differential equation
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Hassard's method
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zero equilibrium
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Hopf bifurcation, chaotic oscillation
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