Using a regulatorika (functioning of regulatory mechanisms) methodology for dynamical systems, the equations for studying living systems based on the functional-differential, functional and discrete equations have been developed. From results of the qualitative analysis of model systems for equations follows, that the functional state can have a varied nature: stable state, stable limit cycle, deterministic chaos and break-down of solutions to the trivial attractor (\lq\lq black hole\rq\rq\ effect). It is shown that there are only seven stable systems, which are in the balance with an external medium. Control problems for regulatorika systems in areas of dynamical chaos and \lq\lq black hole\rq\rq\ effect are considered.