Computer Algebra Automation of the Qualitative Analysis of a Parametric System of Algebraic-Differential Equations

Solutions of systems the ODE with fractional polynomial right parts in finite or infinite range of time can reach infinite values at finite or infinite time. Correct definition of infinite values of variables and derivatives made by enclosure into compact. Transformation is fulfilled automatically by Maple12 package. The offered method used in numerical integration of the equations of Einstein with extremely wide range of values of variables and in unlimited area.

phase portrait, qualitative analysis, compactification, projective