Regular and Chaotic Dynamics

, Volume 15, Issue 4–5, pp 564–574 | Cite as

Regular and chaotic charged particle dynamics in low frequency waves and role of separatrix crossings

  • A. I. NeishtadtEmail author
  • A.V. Artemyev
  • L.M. Zelenyi
Special Issue: Valery Vasilievich Kozlov-60


We consider interaction of charged particles with an electromagnetic (electrostatic) low frequency wave propagating perpendicular to a uniform background magnetic field. The effects of particle trapping by the wave and further acceleration of a surfatron type are discussed in details. Method for this analysis based on the adiabatic theory of separatrix crossing is used. It is shown that particle can unlimitedly accelerate in the trapping in electromagnetic waves and energy of particle does not increase for the system with electrostatic wave.

Key words

surfatron acceleration separatrix crossings adiabatic invariant 

MSC2000 numbers

70H11 70K55 70K70 37N05 


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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • A. I. Neishtadt
    • 1
    • 2
    Email author
  • A.V. Artemyev
    • 1
  • L.M. Zelenyi
    • 1
  1. 1.Space Research Institute (IKI)MoscowRussia
  2. 2.Dept. of Math. SciencesLoughborough UniversityLoughboroughUK

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