Control of Oscillations and Chaos

The necessity of simultaneous access to one communication channel by many users, e.g., in satellite communication systems or cellular telephony, has led to the development of the corresponding standards: FDMA (Frequency Division Multiple Access) and TDMA (Frequency Division Multiple Access). Increasing requirements to the communication channel transmission rates gave rise to the appearance of CDMA (Code Division Multiple Access) using code division of information channels. Use of individual code sequences for communications has forced the search for potential efficient code sources. And dynamic, or deterministic, chaos gives an attractive opportunity for realization of such sources.

There is a number of ideas for chaotic signal applications in multiple-access systems, but as a rule, chaotic signals are used there only as efficient and versatile means of quasi-noise signal formation. In such applications, important and attractive features, such as multitude of chaotic modes, flexible control of their dynamics, chaotic self-synchronization phenomena, and potential communication confidence due to the very dynamic properties of chaotic nonlinear systems, are neglected.