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pro vyhledávání: '"Bakker, Lennard F."'
We present a planar four-body model, called the Binary Asteroid Problem, for the motion of two asteroids (having small but positive masses) moving under the gravitational attraction of each other, and under the gravitational attraction of two primari
Externí odkaz:
http://arxiv.org/abs/2306.00273
We show that a collection of generalized Bowen-Franks group, what we call the principal Bowen-Franks $R$-modules, form a complete set of $R$-module invariants for the equivalence relation of profinite conjugacy for similar hyperbolic toral automorphi
Externí odkaz:
http://arxiv.org/abs/2207.00922
This paper is dedicated to the conjugacy problem in $GL(n,\Z)$ and its connection with algebraic number theory. This connection may be summed up in the Latimer-MacDuffee-Taussky Theorem, which, in a very broad sense, identifies the conjugacy relation
Externí odkaz:
http://arxiv.org/abs/1611.05551
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 binary collisions in the planar pairwise symmetric four-body problem
Externí odkaz:
http://arxiv.org/abs/1105.5618
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 data of its left action. The resulting profinite group has a natural mo
Externí odkaz:
http://arxiv.org/abs/1102.0839
We extend our previous analytic existence of a symmetric periodic simultaneous binary collision orbit in a regularized fully symmetric equal mass four-body problem to the analytic existence of a symmetric periodic simultaneous binary collision orbit
Externí odkaz:
http://arxiv.org/abs/1002.2161
We apply the analytic-numerical method of Roberts to determine the linear stability of time-reversible periodic simultaneous binary collision orbits in the symmetric collinear four body problem with masses 1, m, m, 1, and also in a symmetric planar f
Externí odkaz:
http://arxiv.org/abs/0905.4519
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Autor:
Bakker, Lennard F.
Within the smooth category, an intertwining is exhibited between the global rigidity of irreducible higher rank abelian Anosov actions on the n-torus and the classification of equilibrium-free flows on the n-torus that possess nontrivial generalized
Externí odkaz:
http://arxiv.org/abs/0808.2197
Autor:
Bakker, Lennard F.
We classify a quasiperiodic flow as either algebraic or transcendental. For an algebraic quasiperiodic flow on the n-torus, we prove that an absolute invariant of the smooth conjugacy class of this flow, known as the multiplier group, is a subgroup o
Externí odkaz:
http://arxiv.org/abs/math/0307389