Question: Exercise 2 (van der Pol with parameter). Consider the van der Pol oscillator with parameter > 0: 1 x = p(y+x- ) X y

Exercise 2 (van der Pol with parameter). Consider the van der Pol

Exercise 2 (van der Pol with parameter). Consider the van der Pol oscillator with parameter > 0: 1 x = p(y+x- ) X y = = 0.5, p 1, = 3, Solve the system numerically. Show phase plane plots for and =5. In each case, evolve to time 15 starting at (xo, yo) = (2, 2) to obtain the solution curve. In each case, the limit cycle should be apparent, as the solution curve appears to nearly connect to itself (in reality, it just gets really close). On each plot, overlay the graph of the cubic y = 13x -x on the interval -2 < x < 2 in another color.

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