Functioning of Autonomous Financial Center Under Permanent Bidirectional Capital Flow from Unlimited Number of Terminals
This research examined a mathematical model based on randomized continuity equation that was applied to simulate an evolution of autonomous financial center (FC). The latter was examined in approximation of open system with an infinite number of financial links (sources and sinks) between FC and financial environment where each link was executed by continuity equation. Research is based on the assumption that unlimited number of financial links warrants use of continuous phase space. This study employed methods of mathematical and functional analysis, as well as evolutionary topology to interpret the findings. Found solution for entropy and integral efficiency of the rate of capital exchange is characterized by a built-in phasing, dynamic reconfiguration for structure of capital exchange, regular drift of the range for random variations, as well as property to predict the most probable scenarios of evolution. In general, results demonstrated that suggested mathematical model with a high level of abstraction can describe an evolution process for autonomous FC.