Stability analysis of a charged particle subject to two non-stationary currents
Physica D: Nonlinear Phenomena 472 (2025), 134535 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 existenc...
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| Main Authors | , |
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| Format | Journal Article |
| Language | English |
| Published |
26.09.2024
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| Subjects | |
| Online Access | Get full text |
| DOI | 10.48550/arxiv.2409.18739 |
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| Summary: | Physica D: Nonlinear Phenomena 472 (2025), 134535 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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| DOI: | 10.48550/arxiv.2409.18739 |