Global periodic attractor of a third-order phase-locked loop (Q1299835)
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scientific article; zbMATH DE number 1328401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global periodic attractor of a third-order phase-locked loop |
scientific article; zbMATH DE number 1328401 |
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Global periodic attractor of a third-order phase-locked loop (English)
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30 August 1999
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The author considers third-order systems of the form \[ \dot x= y-\gamma \operatorname {tg} x, \quad \dot y= z-\gamma_a\operatorname {tg}x, \quad \dot z=- \gamma_b\operatorname {tg} x+\beta\sin \nu t.\tag{1} \] for sufficiently small \(|\beta|\) the autor proves the existence of a global periodic attractor.
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global periodic attractors
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non-autonomous equation
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