Abstract
A three-dimensional model of exchange among different R&D types, i.e., basic articles, applied articles, and patents on inventions, has been constructed and investigated within the linear concept of innovations and equations of population dynamics. With linear functions for growth coefficients from phase variables, all eight critical points of the constructed third-order dynamic system were found. The preconditions for the stability of the nontrivial critical point have been determined. Similar results are obtained for nonlinear self-contained functions of the growth coefficient without a decrease of knowledge.
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