. Show that the linearization of (9) at .5; 2/ is u0 D

Chapter , Problem 25

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. Show that the linearization of (9) at .5; 2/ is u0 D 5u5v, v0 D 2u. Then show that the coefficient matrix of this linear system has the complex conjugate eigenvalues 1, 2 D 1 2 5 i p15 with negative real part. Hence .5; 2/ is a spiral sink for the system in (9). F

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