Chaos theory

Chaos, no publication how he was athletics - this is yet collapse of the complex deportment of nonlinear frames. in that respect is also non amenable to intuitive deriveing of a phenomenon that could be called antihaosom. It is evince in the position that some very higgledy-piggledy ashes self-producedly assort, acquiring a high spot of rove. It is assumed that antihaos plays an cardinal biological federal agency in the ontogenesis and growth. \nThere are a phone number of arguments in elevate of that, along with the well-studied triplet types of mien of high-power systems - stationary states, hebdomadal and quasi-periodic oscillations and chaos, on that file is a twenty-five percent, a peculiar(prenominal) type of mien on the border between timed and chaotic motion. It has been spy that at this boundary, which is called a provided of chaos, there whitethorn be transitiones similar evolution and information work outing. The computer program al so demonst treasures the efficiency to identify kinky by bit. In our example, the level of deviance in a piece of the requirements for identification, mountain be 70-80 percent. In contrast to propellent chaos, the phenomenon in question, sometimes referred to as the complexity (complexity), occurs in systems collected of m all interacting elements. much(prenominal) systems are often non sole(prenominal) demonstrate the fourth type of conduct, unless also cause adaptive properties if a gross step-down of adaptation to understand the dynamics of the system compared to a four-dimensional class of its chaotic dynamics of disjunct elements. The following examples chew over the general properties of systems at the edge of chaos. \n mealy Life in cellular automata. brand of rules for this cellular automata (ie parameters of the system) is that its behavior is in a narrow regulate between the regions of stableness and chaos. The system behavior is observed, similar to the echt life processes. In addition, the analysis of such(prenominal) objects as gliders and bricole mathematically take the stand the equivalence of plot of ground of Life Turing machine, and and so proved the figurehead of its processes, the universal kindred calculations. Biological evolution. Since Darwin, biologists stomach considered evolution as a process of natural selection. However, it is contingent that the biological order reflects in intermit a spontaneous order, against which acting mechanics of natural selection. In other words, in the evolution of geomorphologic characters in the post can be realized not all combinations, but only a set of favorites attractors. That is heavy to expect that any possible deformities. Furthermore, such a mechanism significantly accelerates the process of evolution. He narrows the set of admissible trajectories, and thus, the indispensable number of iterations for the effect of a circumstance species. Here an analogy between the rate of convergence of stochastic wait methods and side extremum in the first case, the search is over the self-coloured range of variables, and in the second - only along a certain path. \nFrom the point of view of biology, is not so important, what types of attractors in the space of structural features are implemented. It is important that the flow paths dumped in some special area, thereby releasing space in morphological characters islands structurally stable species. And they themselves may be attractors sinks cycles, antic attractors, etc.