ABSTRACT
Relationship shifts within complex system may cause transfers from norm to pre-crisis or to crisis. Bifurcation values of bifurcation parameters can be calculated by means of proposed mathematical method. Sustainable development of society assumes a reasonable balance between the activities, directed to an acceleration of economic growth, and efforts, directed to mitigate a negative impact of such activities on environment. This problem is of great importance in the sphere of agro-industrial production that is the most sensible pin zone in the system of reciprocal influence of economic and ecological interests of humanity. The functioning of complex systems is becoming unstable and characterizing by discontinuous changes in their behavior. The main objective of investigations is to strengthen the capacity in fields as impact of uncertainty caused by Global Change on transformation of security and sustainability of complex systems for which standard modeling methods and tools are inadequate.
