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

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

2009-05-24

arxiv.org/abs/0905.3924v1

Mathematics

Dynamical Systems

34 pages, 3 figures

Scientific paper

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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