108 citations · 347 across the 26 of their papers we have counts for
30 papers
Central Configurations with Unequal Masses: Finiteness in Several Exceptional Cases of Five Bodies
Małgorzata Moczurad, Piotr Zgliczyński
We provide a computer-assisted proof of the exact count of classes of central configurations for five bodies for several sets of mass values that are exceptional from the point of…
The number of relative equilibria in the PCR4PB
Jordi-Lluís Figueras, Warwick Tucker, Piotr Zgliczynski
The aim of this paper is to present a new, analytical, method for computing the exact number of relative equilibria in the planar, circular, restricted 4-body problem of celestial…
Central configurations in spatial n-body problem for n = 5, 6 with equal masses
Malgorzata Moczurad, Piotr Zgliczynski
We present a computer assisted proof of the full listing of central configurations for spatial n-body problem for n = 5 and 6, with equal masses. For each central configuration we…
Central configurations in planar -body problem with equal masses for
Małgorzata Moczurad, Piotr Zgliczyński
We give a computer assisted proof of the full listing of central configuration for -body problem for Newtonian potential on the plane for with equal masses. We show al…
On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions
Piotr Kalita, Piotr Zgliczyński
We study the non-autonomously forced Burgers equation on the space interval with two sets of the boundary conditions:…
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…