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Bifurcation to chaos in charged particle orbits in a magnetic reversal with shear field
Linköping University, Department of Science and Technology, Visual Information Technology and Applications (VITA). Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9466-9826
Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom.
Linköping University, Department of Science and Technology, Visual Information Technology and Applications (VITA). Linköping University, The Institute of Technology.ORCID iD: 0000-0002-9288-5322
2002 (English)In: IEEE Transactions on Plasma Science, ISSN 0093-3813, E-ISSN 1939-9375, Vol. 30, no 1 I, 18-19 p.Article in journal (Refereed) Published
Abstract [en]

Regular and stochastic behavior in single particle orbits in static magnetic reversals have wide application in laboratory and physical plasmas. In a simple magnetic reversal, the system has three degrees of freedom but only two global (exact) constants of the motion, the system is nonintegrable and the particle motion can, under certain conditions, exhibit chaotic behavior. Here, we consider the dynamics when a constant shear field is added. In this case, the form of the potential changes from quadratic to velocity dependent. We use numerically integrated trajectories to show that the effect of the shear field is to break the symmetry of the system so that the topology of the invariant tori of regular orbits is changed. In this case, invariant tori take the form of nested Moebius strips in the presence of the shear field. The route to chaos is via bifurcation (period doubling) of the Moebius strip tori.

Place, publisher, year, edition, pages
2002. Vol. 30, no 1 I, 18-19 p.
Keyword [en]
Chaos, Current sheets, Single particle dynamics, Virtual reality
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-47109DOI: 10.1109/TPS.2002.1003902OAI: oai:DiVA.org:liu-47109DiVA: diva2:268005
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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Ynnerman, AndersLjung, Patric

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf