Harmonic oscillations, routes to chaos and synchronization in a nonlinear emitter-receiver system

This paper considers a model describing the dynamics of a transmitter-receiver system in communication engineering. The bifurcation structure is analyzed to define the nature of the bifurcations exhibited by the system. Found are both the complex dynamical behavior of the system and its extreme sensitivity to tiny changes in the model parameters. Crisis, period-doubling and Hopf bifurcation are also found. An analog simulation of the transmitter-receiver system is carried out. Some experimental phase portraits are obtained. Both regular and chaotic modulations of the incoming message are carried out experimentally. A comparison of the results obtained from experimental and numerical analysis shows a very good agreement.