  The new business paradigms originate a strong necessity to re-think the
theory of the firm with the aim to get a better understanding on the
organizational and functional principles of the firm, operating in the
investment economies in the prosperous societies. In this connection, we make
the innovative research to advance our scientific knowledge on the theory of
firm in the conditions of the nonlinear dynamic financial and economic systems.
We propose that the nonlinearities have to be taken to the consideration and
the nonlinear differential equation have to be used to model the firm in the
modern theories of the firm in the nonlinear dynamic financial and economic
systems. We apply the econophysical approach with the dynamic regimes modeling
on the bifurcation diagram as in the dynamic chaos theory with the purpose to
accurately characterize the nonlinearities in the economic theory of the firm.
We introduce the Ledenyov firm stability theorem, based on the Lyapunov
stability criteria, to precisely characterize the stability of the firm in the
nonlinear dynamic financial and economic systems in the time of globalization.
