Methods Regarding the Emerging Technological Phenomena of Modern Security in Nonlinear Dynamic Systems. Application Studies and Identifications Methods

The method of emergence of a technological mathematical system is the process by which complex behaviors are formed starting from extremely simple rules. This process is dynamic, with entities presenting emergence over a longer period of time (for example, the successive stages of evolution of multicellular structures from simple organisms to a human brain capable of consciousness. At the same time, emergence can occur between entities of sizes that differ by many orders of magnitude (for example, the interaction between a large number of neurons resulting in the human brain capable of rational thought, although the neurons themselves do not exhibit this ability.