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arXiv · 2409.18739

Stability analysis of a charged particle subject to two non-stationary currents

Stefano Marò·Francisco Prieto-Castrillo
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Abstract

We study the non relativistic motions of a charged particle in the electromagnetic field generated by two parallel electrically neutral vertical wires carrying time depends currents. Under quantitative conditions on the currents we prove the existence of a vertical strip of stable motions of the particle. The stable strip is contained in the plane of the two wires and the stability is understood in a stronger sense than the isoenergetic stability of Hamiltonian systems. Actually, also variations of the integral given by the linear momentum will be allowed.

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Stefano Marò, Francisco Prieto-Castrillo. 2024-09-26. Stability analysis of a charged particle subject to two non-stationary currents. https://doi.org/10.1016/j.physd.2025.134535

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