V.V. Lyahov and V.M. Neshchadim
About the Structural Stability of the Model of the Nonelectroneutral Current Sheath
1516 - 1519
2012
6
11
International Journal of Physical and Mathematical Sciences
https://publications.waset.org/pdf/2999
https://publications.waset.org/vol/71
World Academy of Science, Engineering and Technology
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 firstorder 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.
Open Science Index 71, 2012