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Chewings72 (talk | contribs) m Adding short description: "Finding linear approximation of function at given point" (Shortdesc helper) |
Aimefournier (talk | contribs) m →Uses of linearization: Consistent arguments of F |
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:<math>\frac{d\mathbf{x}}{dt} \approx \mathbf{F}(\mathbf{x_0},t) + D\mathbf{F}(\mathbf{x_0},t) \cdot (\mathbf{x} - \mathbf{x_0})</math>
where <math>\mathbf{x_0}</math> is the point of interest and <math>D\mathbf{F}(\mathbf{x_0},t)</math> is the <math>\mathbf{x}</math>-[[Jacobian matrix and determinant|Jacobian]] of <math>\mathbf{F}(\mathbf{x},t)</math> evaluated at <math>\mathbf{x_0}</math>.
===Stability analysis===
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