Here we show that various effects of systems behavior looking intellectual may be considered as the consequence of the systems special structures. These effects are such as self-organizing processes in robots groups or insects colonies, self-adaptation in business processes of distributed systems and organizing processes in self-adaptive systems at all. We describe systems by special graph structures and the system behavior by the graph transformations. These special structures may be as the structure in the system task set as the structure describing the business process. We estimate different transformation paths by an implication in a logic associated with the graph construction. We discuss the example of some business process describing by a special graph construction with additional structure of linear logic in it. This approach provides a decision making and allows to obtain the automated adaptation choice of the system initially managed manually. The choice follows from the system internal properties only and coincides with the choice obtained by another logic using earlier.