108 citations · 347 across the 26 of their papers we have counts for
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math.DS2009
Transition Tori in the Planar Restricted Elliptic Three Body Problem
Maciej J. Capinski, Piotr Zgliczynski
We consider the elliptic three body problem as a perturbation of the circular problem. We show that for sufficiently small eccentricities of the elliptic problem, and for energies…
math.DS2009★ 20 cited
Computer assisted proof of the existence of homoclinic tangency for the Henon map and for the forced-damped pendulum
Daniel Wilczak, Piotr Zgliczynski
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…