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arXiv · 0905.3924

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

Daniel Wilczak·Piotr Zgliczynski
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Abstract

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.

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Daniel Wilczak, Piotr Zgliczynski. 2009-05-24. Computer assisted proof of the existence of homoclinic tangency for the Henon map and for the forced-damped pendulum. https://doi.org/10.1137/090759975

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