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Exercise 2 van der Pol with parameter Consider the van der Pol oscillator with parameter...

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Basic Math

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Exercise 2 van der Pol with parameter Consider the van der Pol oscillator with parameter 0 x y x X 1 7 2 3 Y f Solve the system numerically Show phase plane plots for 0 5 0 5 1 3 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 x on the interval 2 x 2 in another color

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