Complicated dynamics in a model of charged particles

Gjata, Oltiana
•
Zanolin, Fabio
2020
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ISSN
0049-4704
DOI
e-ISSN
2464-8728
Abstract
We give an analytical proof of the presence of complex dynamics for a model of charged particles in a magnetic field. Our method is based on the theory of topological horseshoes and applied to a periodically perturbed Dffing equation. The existence of chaos is proved for sufficiently large, but explicitly computable, periods.
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EUT Edizioni Università di Trieste
Source
Oltiana Gjata, Fabio Zanolin, "Complicated dynamics in a model of charged particles" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
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en
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Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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