Global asymptotic stability of differential equations in the plane (Q809253)
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scientific article; zbMATH DE number 4210594
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global asymptotic stability of differential equations in the plane |
scientific article; zbMATH DE number 4210594 |
Statements
Global asymptotic stability of differential equations in the plane (English)
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1991
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Several equivalent conditions are given which guarantee global asymptotic stability of the zero solution of the planar differential equation \(x'=f(x)\) for all \(C^ 1\) functions f whose Jacobian matrix has positive determinant and negative trace throughout the plane.
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global asymptotic stability
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planar differential equation
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