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Article

Planar Penning trap with combined resonance and top dynamics on quadratic algebra

Russian Journal of Mathematical Physics. 2015. Vol. 22. No. 4. P. 463-468.

We study dynamics of a charge in the planar Penning trap in which the direction of magnetic field does not coincide with the trap axis. Under some combined resonance condition on the deviation angle and magnitudes of magnetic and electric fields, the trajectories of a charge are near-periodic. We describe the reduction to a top-like system with one degree of freedom on the space with quadratic Poisson brackets and study the stability of the equilibrium points of this system.