Abstract:
Cryptography deals with the problem of information protection by its transformation, providing the
protection of information (by means of computational techniques), i.e. a set of agreed encryptian tools. Under the cryptosystem in the narrow sense we will understand dynamical systems with a nonlinear function and spatial states, it is represented by a differential equation. Some conditions of the dynamic system, the Lyapunov exponent, as a measure of sensitivity are considered. Identification of the interconnection between objects of study in the theory of chaos and cryptography is revealed; the conclusions about the possibility of using the trajectory of dynamical systems with the chaos for the representation and the transmission of information.