TY - JFULL AU - V.V. Lyahov and V.M. Neshchadim PY - 2012/12/ TI - About the Structural Stability of the Model of the Nonelectroneutral Current Sheath T2 - International Journal of Physical and Mathematical Sciences SP - 1515 EP - 1519 VL - 6 SN - 1307-6892 UR - https://publications.waset.org/pdf/2999 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 71, 2012 N2 - The structural stability of the model of a nonelectroneutral current sheath is investigated. The stationary model of a current sheath represents the system of four connected nonlinear differential first-order equations and thus they should manifest structural instability property, i.e. sensitivity to the infinitesimal changes of parameters and starting conditions. Domains of existence of the solutions of current sheath type are found. Those solutions of the current sheath type are realized only in some regions of sevendimensional space of parameters of the problem. The phase volume of those regions is small in comparison with the whole phase volume of the definition range of those parameters. It is shown that the offered model of a nonelectroneutral current sheath is applicable for theoretical interpretation of the bifurcational current sheaths observed in the magnetosphere. ER -