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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.52 (2020), 1st and 2nd Issue
  6. Complicated dynamics in a model of charged particles
 
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Complicated dynamics in a model of charged particles
Gjata, Oltiana
•
Zanolin, Fabio
2020
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ISSN
0049-4704
DOI
10.13137/2464-8728/30761
http://hdl.handle.net/10077/30761
  • Article

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.
Journal
Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics 
Subjects
  • Hamiltonian systems

  • period map

  • saddle points

  • homoclinic solutions

  • chaotic dynamics

  • topological horseshoe...

Publisher
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
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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