Representation of Social Systems as Nonlinear, Complex, Self-Organizing and Closely Related to Biosystems and Mathematical Model of Their Evolution

On the basis of the systemic and synergistic approaches, the features and regularity of the selforganizing systems, it is concluded that the social systems are nonlinear, open, complex, self-organizing systems. The scheme-model of the general structure of the social system is considered. Much attentions is given to the interactions of the social systems elements with the biosystems. The graphic model-tree, reflecting the association between the social systems and the biosystems. In connection with that the most significant technologies and the scientific trends, connecting with the biosystems: the gens, the genetic engineering, the artificial intellect, the bio- and nanotechnologies, the biomedicine, microbes, viruses are considered. The futures of the dynamics of the social systems are noted. It is shown, that, with a high probability, the spiral evolutionary processes can occur in the social systems. The mathematical model is presented, that describes the spiral structures, based on the Swift-Hohenberg equation