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Ordinary Differential Equation: Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg128387] [mg128387] Ordinary Differential Equation: Mathematica
  • From: psudharaka at gmail.com
  • Date: Thu, 11 Oct 2012 23:59:07 -0400 (EDT)
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Hi Everyone, :)

s = NDSolve[{x'[t] == \[Mu]*(y[t] - (1/3*x[t]^3 - x[t])),
    y'[t] == -1/\[Mu]*x[t], x[0] == 8, y[0] == 2}, {x, y}, {t, =
150}];

This above code will show limit cycles when you parametric plot the Van de Pol Equation. However, I want to find the period T numerically. I need to add in a piece for mu ranging from 0 to 0.5 by steps of 0.05 and 5 to 50 by steps of 5. After that, I need the code to find the period of the limit cycle. How can I accomplish this?

Kind Regards,
Sudharaka.



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