BIFURCATION DIAGRAM FOR NONLINEAR SYSTEM OF ALGEBRAIC EQUATIONS WITH PARAMETERS

Abstract

In this paper we are interested in studying of bifurcation solutions of bifurcation equation (nonlinear system of algebraic equations with four or six parameters). Also, we found a new geometrical description of the Discriminate set(bifurcation set) with bifurcation spreading of the number of regular solutions in every region. In addution, we calculate the topological indices of the solutions of the problem.