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Limit cycles of the van der Pol equation
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The red curve is the van der Pol limit cycle and the black curves are algebraic approximations you get with the algorithm we introduced.
It is a formal algorithm which outputs a two variables polynomial. One of the level curve of this polynomial is an approximation the limit cycle.
The orders n=2,4,6, ... are differents from a Taylor expansion. The lower part of the order n is in no way equal to any part of order less than n.
ordre 2
ordre 6
ordre 18