Research Activities

Dynamic Chaos and Bifurcation Phenomena

Analysis of general features of the chaotic system behavior and investigation of the properties of concrete chaotic sources.

Generation of Dynamic Chaos

Design and investigation of chaotic sources for various electromagnetic bands. Special attention is paid to the design of the sources with prescribed spectral, statistical and other characteristics, and to the problems of reproducible characteristics of individual devices. Also, discrete-time continuous-valued chaotic oscillators are developed and investigated.

Chaotic System Interaction

Investigation of chaotic system interaction includes the problems of controlling dynamics of a chaotic oscillator by another chaotic oscillator, chaotic synchronization and chaotic synchronous response in the system of two oscillators, types of collective behavior by intercation of many chaotic systems, conditions for different modes, conditions for synchronization and desynchronization in ensembles of chaotic systems.

Information Processes in Systems with Complex Dynamics

Analysis of information properties of chaotic systems and chaotic oscillations as concrete objects for information processing and comunications. Study of specific features of chaotic systems and signals from the viewpoint of the information theory.

Information Technologies Based on Dynamic Chaos and Nonlinear Phenomena

Analysis of experimental data and theoretic conceptions on information processes in living systems allows us to propose (and to prove, to a certain extent) a hypothesis of the existence of common principles and features of information procesing in the systems with complex dynamics, independent of the concrete type of the systems. This hypothesis gives a possibility of designing simple mathematical structures accomplishing various processes of information processing using chaos. We investigate 1-D and multi-dimensional maps, lattices of chaotic elements, and neural-like systems in order to use them as such structures.

Application of Dynamic Chaos to Information Transmission in Computer Networks and Communication Systems

In most contemporary comunication systems, regular oscillations are used as information carriers. These oscillations in the transmitter are amplitude, frequency or phase modulated by an information signal, and in the receiver the information is retrieved by means of inverse operation of demodulation. The carrier can be modulated either by means of modulating the already formed regular oscillations, or by means of controlling an oscillator parameter in the process of forming the oscillations.

Similarly, one can modulate the chaotic signals by information. However, there is much more capabilities here. Indeed, while there are only three control parameters (amplitude, frequency and phase) in the case of regular signals, in the case of chaotic oscillations even subtle parameter variations of any of the chaotic source elements changes the oscillation characteristics, which can be reliably fixed.

Our investigations are aimed at:

• development of the schemes for transmitting analog and digital information using chaos in low-frequency and RF bands, in fiber-optic and computer networks
• analysis of noise stability and throughput characteristics of these schemes
• the problems of protecting information in various networks using chaos
• development of the principles for encoding and decoding information signals using chaos
• novel methods for channel multiplexing and principles of multiple access

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