P. Zgliczyński

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20002026

most citedHeteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof

108 citations · 347 across the 26 of their papers we have counts for

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Showing 2018 · math.DSShow all

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math.DS2018★ 17 cited

Central configurations in planar $n$ -body problem with equal masses for $n = 5, 6, 7$

Małgorzata Moczurad, Piotr Zgliczyński

We give a computer assisted proof of the full listing of central configuration for $n$ -body problem for Newtonian potential on the plane for $n = 5, 6, 7$ with equal masses. We show al…

math.DS2018

Beyond the Melnikov method II: multidimensional setting

Maciej J. Capinski, Piotr Zgliczynski

We present a Melnikov type approach for establishing transversal intersections of stable/unstable manifolds of perturbed normally hyperbolic invariant manifolds. We do not need to…

Central configurations in planar n-body problem with equal masses for n=5,6,7

Beyond the Melnikov method II: multidimensional setting

Central configurations in planar $n$ -body problem with equal masses for $n = 5, 6, 7$