Consider the linear system dx - = -X+EY, dt dy dt = x -y. Show that the critical point
Chapter 7, Problem 7.3.34(choose chapter or problem)
Consider the linear system dx - = -X+EY, dt dy dt = x -y. Show that the critical point (0, 0) is (a) a stable spiral point if E < 0; (b) a stable node if 0 E < 1. Thus small perturbations of the system Xl = -X, yl = X -Y can change the type of the critical point (0, 0) without changing its stability.
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