a) Show directly that the points of the limit cycle in Example 1, form a triangle whose
Chapter 10, Problem 3(choose chapter or problem)
a) Show directly that the points of the limit cycle in Example 1, form a triangle whose vertices lie on the lines , , and and whose sides are perpendicular to these lines (Figure 10.12.9c). (b) Using the equations derived in Exercise 1(a), show that if , then [Note: Either part of this exercise shows that successive orthogonal projections of any point on the limit cycle will move around the limit cycle indefinitely.]
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