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Computer assisted proof of the existence of homoclinic tangency for the Henon map and for the forced-damped pendulum

We present a topological method for the efficient computer assisted verification of the existence of the homoclinic tangency which unfolds generically in a one-parameter family of planar maps. The method has been applied to the Henon map and the forced damped pendulum ODE.

preprint2009arXivOpen access
Daniel WilczakPiotr Zgliczynski
math.DSmath.NA
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Daniel WilczakPiotr Zgliczynski

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