BOUNDS FOR COMPACT INVARIANT SETS OF ONE SYSTEM ARISEN IN STUDIES OF PLASMA DYNAMICS MODELS
In this paper we show how to compute bounds for a compact domain which contains all compact invariant sets of one sixdimensional system describing plasma dynamics. Using the first order extremum conditions we obtain formulas for the localization bounds by using several quadratic and rational
localizing functions. In addition, by exploiting some rational functions we demonstrate how to refine this localization with help of a removal of some pieces from the localization domain. Conditions of global stability are presented. Results of numerical simulation illustrating the localization domain for the chaotic attractor are provided.