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math.CA2011★ 3 cited
Linear Stability Analysis of Symmetric Periodic Simultaneous Binary Collision Orbits in the Planar Pairwise Symmetric Four-Body Problem
Lennard F. Bakker, Scott C. Mancuso, Skyler C. Simmons
We apply the symmetry reduction method of Roberts to numerically analyze the linear stability of a one-parameter family of symmetric periodic orbits with regularizable simultaneous…
math.DS2011
A Profinite Group Invariant for Hyperbolic Toral Automorphisms
Lennard F. Bakker, Pedro Martins Rodrigues
For a hyperbolic toral automorphism, we construct a profinite completion of an isomorphic copy of the homoclinic group of its right action using isomorphic copies of the periodic d…