Show that the linearization of (4) at .2; 3/ is u0 D 2u2v,

Chapter , Problem 13

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Show that the linearization of (4) at .2; 3/ is u0 D 2u2v, v0 D 3u. Then show that the coefficient matrix of this linear system has the complex conjugate eigenvalues 1, 2 D 1 i p5 with negative real part. Hence .2; 3/ is a spiral sink for the system in (4).

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