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  • Ynnerman, AndersLinköpings universitet,Visuell informationsteknologi och applikationer,Tekniska högskolan,Medie- och Informationsteknik,Tekniska fakulteten,Centrum för medicinsk bildvetenskap och visualisering, CMIV (author)

Bifurcation to chaos in charged particle orbits in a magnetic reversal with shear field

  • Article/chapterEnglish2002

Publisher, publication year, extent ...

  • Institute of Electrical and Electronics Engineers (IEEE),2002
  • printrdacarrier

Numbers

  • LIBRIS-ID:oai:DiVA.org:liu-47109
  • https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-47109URI
  • https://doi.org/10.1109/TPS.2002.1003902DOI
  • https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-119042URI

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  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype
  • Subject category:art swepub-publicationtype

Notes

  • 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.

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  • Chapman, S.C.Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom (author)
  • Ljung, Patric,1968-Linköpings universitet,Visuell informationsteknologi och applikationer,Tekniska högskolan,Medie- och Informationsteknik,Tekniska fakulteten,Immersive Visualization(Swepub:liu)patlj09 (author)
  • Andersson, N. (author)
  • Linköpings universitetVisuell informationsteknologi och applikationer (creator_code:org_t)

Related titles

  • In:IEEE Transactions on Plasma Science: Institute of Electrical and Electronics Engineers (IEEE)30:1 I, s. 18-190093-38131939-9375

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Ynnerman, Anders
Chapman, S.C.
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Andersson, N.
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