28 citations · 70 across the 13 of their papers we have counts for
17 papers
Relative Equilibria and Periodic Orbits in a Binary Asteroid Model
Lennard F. Bakker, Nicholas J. Freeman
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 attractio…
Generalized Bowen-Franks Groups and Profinite Conjugacy for Hyperbolic Toral Automorphisms
Lennard F Bakker, Pedro Martins Rodrigues
We show that a collection of generalized Bowen-Franks group, what we call the principal Bowen-Franks -modules, form a complete set of -module invariants for the equivalence r…
Centralizers of hyperbolic and kinematic-expansive flows
Lennard Bakker, Todd Fisher, Boris Hasselblatt
We show generic hyperbolic flows (Axiom A and no cycles, but not transitive Anosov) commute with no -diffeomorphism other than a time-t map of the flow itself.…
Local Conjugacy of Irreducible Hyperbolic Toral Automorphisms
Lennard F Bakker, Pedro Martins Rodrigues, Miguel M. R. Moreira
This paper is dedicated to the conjugacy problem in and its connection with algebraic number theory. This connection may be summed up in the Latimer-MacDuffee-Taussky Th…
Block Conjugacy of Irreducible Toral Automorphisms
Lennard Bakker, Pedro Martins Rodrigues
We introduce a relation of block conjugacy for irreducible toral automorphism, and prove that block conjugacy is equivalent to weak equivalence of the ideals associated to the auto…
A Separating Surface for Sitnikov-like n+1-body Problems
Lennard Bakker, Skyler Simmons
We consider the restricted n + 1-body problem of Newtonian mechanics. For periodic, planar configurations of n bodies which is symmetric under rotation by a fixed angle, the z-axis…