The study of euler resource networks

We study properties of homogeneous, symmetric and quasi-symmetric resource networks, which are combined into one class called the Euler networks. For the case of small resource volumes we find an analytical expression for the sole limit state. For the case of large resource amounts we prove that the limit state is determined by the initial one, and provide corresponding formulae. For the class of initial states, which preserve network operation rules, we calculate the limit vector, while for the other initial states we suggest a recursive algorithm to reduce them to the former class.