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Spiral Classifier Chart King

3 Example 3 a spiral The pair of ODEs x y and iJ 2x 2y have a critical point Xo Yo O The Jacobian matrix is has eigenvalues A12 1 fi Hence we have a stable spiral To find which way the spiral goes we look at the derivative dy 2x 2y x dx Y This means that dyjdx 0 on the line y x and that dyjdx 00 on the line

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