Effect of dynamic degradation in algorithms for data security

Abstract

The algorithm of data encryption using discrete chaotic systems and transformations is considered. The features of reversible discrete control systems as information transformers are studied, in particular, such a property as dynamic degradation. It consists in the possible sharp decrease of a discrete set of states of a complex dynamic system with the introduction of an information message. To a large extent, this phenomenon depends on the initial values of the trajectories and parameters of the system. An example of a dynamic system whose trajectories have a complex internal dynamic is given, but when an information message is introduced into it, they fall on a zero invariant manifold. Thus, instead of encrypting the input information sequence, the output of the system for any values of key parameters, starting from a certain moment, accurately transmits the value of the information input with a unit delay.