ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

hyperbolic chaos

Robust chaos in autonomous time-delay system

We consider an autonomous system constructed as modification of the logistic differential equation with delay that generates successive trains of oscillations with phases evolving according to chaotic maps. The system contains two feedback loops characterized by two generally distinct  retarding time parameters. In the case of their equality, chaotic dynamics is associated with the  Smale–Williams attractor that corresponds to the double-expanding circle map for the phases of the carrier of the oscillatory trains.

A new information transfer scheme based on phase modulation of a carrier chaotic signal

  A new information transfer scheme based on dynamical chaos is suggested. An analog carrier signal is generated by self­exciting chaotic generator in a phase­coherent oscillatory regime. This carrier undergoes a modified procedure of phase modulation by information signal, which simultaneously affects upon the transmitting generator via the feedback loop. After the communication channel is passed, the signal modulated by information acts upon a receiving generator, so that a synchronous chaotic response arises in it.