92 citations
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Showing 2016Show all
3 papers · 1 filter
math-ph2016★ 1 cited
Three-Point Vortex Dynamics as a Lie-Poisson System
Antonio Hernández-Garduño
This paper studies the reduced dynamics of the three-vortex problem from the point of view of Lie-Poisson reduction on the dual of the Lie algebra of . The algebraic study…
astro-ph.GA2016★ 3 cited
Low-mass disc galaxies and the issue of stability: MOND vs dark matter
F. J. Sanchez-Salcedo, E. Martinez-Gomez, V. M. Aguirre-Torres +1
We analyse the rotation curves and gravitational stability of a sample of six bulgeless galaxies for which detailed images reveal no evidence for strong bars. We explore two scenar…
math.CA2016★ 15 cited
Symmetric Liapunov center theorem
Ernesto Pérez-Chavela, Sławomir Rybicki, Daniel Strzelecki
In this article, using an infinite-dimensional equivariant Conley index, we prove a generalization of the profitable Liapunov center theorem for symmetric potentials. Consider the…