The design of the human brain is considered from the viewpoint of Synergetics, i.e., universal approach to all complex developing systems (both living and artificial). The basic principle of Synergetics states that the design of any system should be determined by its primary goal. Any living system is aimed to “survival and expansion” in any, in particular, “catastrophic” (i.e., suddenly, unpredictably changing) environment. This results in the necessity of splitting into two hemispheres with similar structures and lack of a priory specialization. The “enigma of hemisphere specialization” has a folk interpretation, which reads “imaginative, intuitive, emotional thinking takes place in the right hemisphere, while the left hemisphere is responsible for the analytical, logical thinking.” In this paper, we show that the presence of exactly two subsystems with different specializations meets the requirements of several basic principles of Synergetics at once. The model NCCA, which we have been developing from 2013 to the present, pursues the goal “to comprehend and reproduce the features of just human thinking.” Earlier, we have shown, in particular, that involving two subsystems provides the possibility to reproduce the features of intuitive and logical thinking. In this paper, we specify the functions of two subsystems within NCCA and demonstrate that this specialization does satisfy the basic principles of Synergetics and not contradict (apart from emotional aspect) “folk” belief, while expands and clarifies it. Within NCCA, emotional manifestations are not affiliated in a particular hemisphere but are associated with transitions of activity between them.