Key Russian economics challenges and opportunities to effective use her competitive advantages are discussed in the publication. Some critical system management requirements are formulated to transit the Russian economy to a more sustainable growth. Presented applications of system theory fundamentals are intended to the choose directions and adequate regulatory mechanisms to promote sustainable economic growth in situation of turbulence.

An aim of this work is to demonstrate the potential utilization of mathematical methods for the diagnosis of the crisis situations in the business and develop methods to eliminate them. Feichtinger model for two competing firms engaged in active investment strategy in the commodity market is considered in this article. An effective method that allows one to quickly suppress market chaos and stabilize operating dynamics of both companies via model modification is purposed. An important advantage of the developed method for competing firms business management is that a small number of corrective operations is required to suppress the chaotic trends.

Approaches to defining investment activity entities reviewed. The role of monetary factors in the increase investment activity is defined. The influence of instruments of monetary policy for the investment activity of Belarusian companies is discussed. Measures to increase investment activity are offered.The combined regime currency and inflation targeting is proposed.

The article analyzes the meaning of company's innovation strategy which is considered as one of the functional strategies. It examines positive role of company’s motivate environment for innovation ideas creation and realization. The article explores number of case studies where effective influence of motivate environment on the whole company’s innovation activity is proved.