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Regularization of the Kepler problem on the Sphere
Regularization of the Kepler problem the Sphere Dynamical Systems
2012/6/29
In this paper we regularize the Kepler problem on $S^3$ in several different ways. First, we perform a Moser-type regularization. Then, we adapt the Ligon-Schaaf regularization to our problem. Finally...
Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
Photogravitational:Oblateness:RTBP:Chermnykh-Like problem
2011/9/21
Abstract: We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analyti...
Almost periodic structures and the semiconjugacy problem
periodic structures semiconjugacy problem Dynamical Systems
2011/9/20
Abstract: The description of almost periodic or quasiperiodic structures has a long tradition in mathematical physics, in particular since the discovery of quasicrystals in the early 80's. Frequently,...
Brouwer's problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics
Rotating saddle Quadrupole trap Crystal optics Rotor dynamics
2010/12/28
In 1918 Brouwer considered stability of a heavy particle in a rotating vessel. This was the first demon-stration of a rotating saddle trap which is a mechanical analogue for quadrupole particle traps ...
