Qualitative analysis of a P-L-L equation with tangent characteristic and frequency modulation input (Q1825344)
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scientific article; zbMATH DE number 4120587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Qualitative analysis of a P-L-L equation with tangent characteristic and frequency modulation input |
scientific article; zbMATH DE number 4120587 |
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Qualitative analysis of a P-L-L equation with tangent characteristic and frequency modulation input (English)
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1989
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We consider the equation \[ \ddot x+(\alpha +\beta \sec^ 2x)\dot x+\gamma tg x=A \sin \omega t \] and prove the existence, uniqueness, global stability (the attracting basin is the whole \(x-\dot x\) plane), for \(\beta\geq \alpha \geq 0\), \((\alpha +\beta)^ 2\geq 4\gamma >0\).
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phase-locking
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global stability
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attracting basin
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