Multi-Channel Chaotic System

The paper deals with the construction and study of a multi-channel secured communication system based on a chaotic dynamic. Our design is based on the study of the piecewise linear time-delayed system. We offer to replace real numbers in the description of state variable and object parameters with complex and hyper-complex ones. Such an approach gives us the possibility to extend the system's dimension and design a multi-channel chaotic system. We suggest using this system as a multichannel chaotic transmitter which modulates some message with a random signal sequence. It is shown that usage of irrational function makes it possible to deform chaotic oscillations form and makes them different from known ones. We use the symmetry principle to construct a decryptor for the received messages. Some recommendations to design multi-channel chaotic communication system are given as generalization of the proposed approach.