Non-equilibrium multi-component systems - stability, synchronization, self-organization, control

It is well known that physics, biology and life itself cannot be understood without scales - macro, micro, nano etc. Also, the individual organism is not purely stochastic, for example, queuing network One needs new science where deterministic dynamics plays a major role but the role of probability is still very important. Another problem is mathematization - not only absolute need of rigour in formulations, definitions and proofs but also - minimal number of axioms. All this will be explained on simple examples.