4 citations · 5 across the 8 of their papers we have counts for
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On the integrability of the n-centre problem
Andreas Knauf, Iskander A. Taimanov
It is known that for centres and positive energies the -centre problem of celestial mechanics leads to a flow with a strange repellor and positive topological entropy…
Integrability of the n-centre problem at high energies
A. Knauf, I. A. Taimanov
It is shown that for generic configuration of the centres at high energy levels the n-centre problem is completely integrable by using integrals of the motion however it…
An example of a jump from chaos to integrability for magnetic geodesic flows
I. A. Taimanov
It is proved that the motion of a charge particle on a hyperbolic oriented two-dimensional surface in a magnetic field given by the volume form of the hyperbolic metric is complete…
Tame integrals of motion and o-minimal structures
I. A. Taimanov
We expose some ideas from mathematical logics, i.e. the background of the theory of o-minimal structures, and demonstrate how they lead to the notion of a tame integral of motion a…