Stability analysis of a charged particle subject to two non-stationary currents
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929687490461696 |
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| author | Marò, Stefano Prieto-Castrillo, Francisco |
| author_facet | Marò, Stefano Prieto-Castrillo, Francisco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18739 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability analysis of a charged particle subject to two non-stationary currents Marò, Stefano Prieto-Castrillo, Francisco Chaotic Dynamics 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. |
| title | Stability analysis of a charged particle subject to two non-stationary currents |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2409.18739 |