Van Der Pol Example 1 Results:

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  • .
  • Experience with w=0
  • .
  • Experience with w=0.04
  • .
  • Experience with w=0.5
  • .
  • Lambda
  • .
  • Delta
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Limit cycle in the phase plane \(u_2(u_1(t))\)

Without perturbation: w=0.

Image1
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\(\delta(t)\)

over 5 periods

Without perturbation: w=0.

Image2
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Limit cycle in the phase plane \(u_2(u_1(t))\)

With perturbation: w=0.04.

Image3
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\(\delta(t)\)

over 5 periods

With perturbation: w=0.04.

Image4
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Limit cycle in the phase plane \(u_2(u_1(t))\)

With perturbation: w=0.5.

Image5
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\(\delta(t)\)

over 5 periods

With perturbation: w=0.5.

Image6
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\(\lambda(t)\)

over 5 periods.

Image7