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The algorithm for determining information flows in the network is developed and studied, taking into account restrictions on the input and output flows values in each node of the system. The algorithm is based on the Gaussian method of solving linear equations systems in case when the rank of the equivalent system matrix, is less than the number of unknown variables in the system. Using this algorithm, the capacities of sets of the integer solutions for networks with 2 nodes (flow intensity up to 200), 3 nodes (flow intensity up to 20) and 4 nodes (flow intensity up to 10) are calculated.

Nowadays are being held intensive researches involving the use of deterministic chaos in communication systems. Indeed chaotic oscillations in such systems serve as a carrier of information signals, and means of encryption, both in hardware and in software. This work is devoted to the complex analysis of the practical implementation of a chaotic secure communication system. The generalized synchronization as a synchronization response was selected. The circuit implementation of a modified Colpitts oscillator as a source of chaos was proposed. We also discussed questions of modeling chaotic oscillations and, in this context, analyzing the differences between chaotic, pseudo-chaotic and pseudo-random oscillations.

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