STRUCTURAL STABILITY AND BIFURCATIONS
IN ANALITICAL DIFFERENTIAL SYSTEMS
Analytical differential systems depending on parameters are investigated. A notation of space of generalized solutions is introduced and its topology is defined by fundamental solutions. The possibility of structure determination of differential system used systems of fundamental solutions is shown. Integrating of the considered systems is equivalent to existence of generalized solution of the complete uniform system; it means the solution space is analytical manifold. Symmetric functions of the operator eigenvalues of differential system gives bifurcation varieties on analytical manifold of the system parameters