Show that the linearization of (8) at .5; 2/ is u0 D 5u
Chapter , Problem 22(choose chapter or problem)
Show that the linearization of (8) at .5; 2/ is u0 D 5u 5v, v0 D 2u. Then show that the coefficient matrix of this linear system has complex conjugate eigenvalues 1, 2 D 1 2 5 i p15 with positive real part. Hence .5; 2/ is a spiral source for the system in (8).
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