Abstract:
The methods of structural synthesis and common principles of the invariant analysis of complicated
nonlinear mathematical models are considered. The analytic form of representation of models
looks like the multiparameter differential equations or dynamic systems with control. The concepts
about formal models of type polynomial, formal integral manifolds and differential complexes are introduced.
The examples of algorithms are reduced. The models polynomial and singular type converted
and controlled, ecological minimum type are considered. The examples of the mathematical Handbook
are reduced.