Control and Tracking of Unstable Orbits in Hamiltonian Flows: The Diamagnetic Kepler Problem

B. Pourbohloul; L. J. Dube'

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Control and Tracking of Unstable Orbits in Hamiltonian Flows: The Diamagnetic Kepler Problem

B. Pourbohloul·L. J. Dube'

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Abstract

We report on the application of chaos control to the irregular motion of an electron under the combined influence of a Coulomb and a magnetic field, the so-called ``diamagnetic Kepler problem'' (DKP). We show how to stabilize the classical chaotic orbits into regular motion and present a new method to follow the unstable orbits as the energy is increased from the regular to the chaotic regime.

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B. Pourbohloul, L. J. Dube'. 2000-08-01. Control and Tracking of Unstable Orbits in Hamiltonian Flows: The Diamagnetic Kepler Problem. https://arxiv.org/abs/nlin/0008001

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