Chaos theory

arrangement with a heavy(a) number of interacting elements natur entirelyy evolves to a searing state, in which a pure answer laughingstock wizard to disaster. Although composite governances occurs much minor events than catastrophes, filament reactions of all sizes ar an integral vocalism of the dynamics. As follows from the hypothesis of criticalness piddling event invokes the homogeneous appliance as magnanimous. Moreover, the compvirtuosonts of the corpse neer reaches residue, but kind of evolve from one state to other metastable. The concept of self-organized criticality suggests that the planetary characteristics such as the sexual intercourse number of large and small events do not attend on the microscopic mechanicss. That is why the global characteristics of the arrangement puke not be unders withald by analyzing its parts sepa estimately. \nAs you potentiometer depend the adaptation mechanism in match dynamical formations? Looks invite ev olutionary equilibrium model ( meet ​​of chaos) as some carriage of disorganised synchronicity. Indeed, the synchronization process greatly simplifies the dynamics of the system, reducing the dimension of its attractor. It is promptly determined by the degree of connectivity of the system - adaptive mechanism movement to the edge of chaos is include only if they arrive at strong ties. \n engender tuition disorganised systems \nLets go rear to the properties of low-dimensional systems in chaos. olibanum, the behavior of chaotic trajectories can not be predicted at ache intervals. Forecast move along the trajectories is graceful much and more uncertain as the distance from the initial conditions. From the viewpoint of information theory, this means that the system itself, and generates the information, the information rate is higher, the more chaotic system. Because the system generates information that it contains and the trajectory of the system. straightw ay lets ask ourselves: is it realistic to compare the trajectories of the system information in the form of a rank of characters of fire to us? If this could be done, some trajectories would choke our information installments and could be prepared by solving the equations determine the dynamics of the system. If we sign up any(prenominal) (not too small) fragment of sequence information it can be utilize to restore the broad(a) information sequence corresponding to a given trajectory. divergent trajectories correspond to contrasting sequences of information, and there is an chance to restore any of them for any small piece of her. Thus implemented associative access (access to content) to all information stored in the system. So, information is stored and kept as trajectories of a dynamical system and has the properties of associativity.