(a) Show that (0, 0) is the only critical point of the Raleigh differential equation X1
Chapter 11, Problem 30(choose chapter or problem)
(a) Show that (0, 0) is the only critical point of the Raleigh differential equation X1 + E((x')3 - X1) + X = 0. (b) Show that (0, 0) is unstable when e > 0. When is (0, 0) an unstable spiral point? (c) Show that (0, 0) is stable when e < 0. When is (0, 0) a stable spiral point? (d) Show that (0, 0) is a center when e = 0.
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