Trapping scaling for bifurcations in the Vlasov systems.

@article{Barre2016TrappingSF,
  title={Trapping scaling for bifurcations in the Vlasov systems.},
  author={J. Barre' and D. M{\'e}tivier and Y. Yamaguchi},
  journal={Physical review. E},
  year={2016},
  volume={93},
  pages={
          042207
        }
}
  • J. Barre', D. Métivier, Y. Yamaguchi
  • Published 2016
  • Physics, Medicine
  • Physical review. E
  • We study nonoscillating bifurcations of nonhomogeneous steady states of the Vlasov equation, a situation occurring in galactic models, or for Bernstein-Greene-Kruskal modes in plasma physics. Through an unstable manifold expansion, we show that in one spatial dimension the dynamics is very sensitive to the initial perturbation: the instability may saturate at small amplitude-generalizing the "trapping scaling" of plasma physics-or may grow to produce a large-scale modification of the system… CONTINUE READING
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