INFORMATION TECHNOLOGIES IN MODERN NONLINEAR DYNAMICAL SYSTEMS

Abstract

It is known that the creation of effective control methods in all known forms is possible upon the condition that information on the laws of evolutionary development does exist and available [1]. The accumulation, processing and analysis of information, as a rule, is a stochastic nature of the laws of its processing and application [2]. One of the most common formation, processing and analysis systems is self-organized nonlinear dynamic systems. At the same time nonlinear dynamic systems can be used to provide an approach to problems and tasks that involve notion of randomness. An example of such a task is the Monte Carlo method, which raised the question whether or not it is really necessary to use true chance or can it be replaced by an appropriate deterministic procedure for the solution? The theorem is proposed in [3], provided that any settlement problem is difficult to solve, randomness does not allow to improve algorithmic efficiency. The question arises whether it is possible to effectively form such sequences that would be close to random by means of deterministic methods. This problem can be solved both in terms of mathematics and in terms of computer science.