Transmission of information and synchronization in a pair of coupled chaotic circuits: An experimental overview
Max-Planck-Institute für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany
2 Central Instrumentation, Indian Institute of Chemical Biology (Council of Scientific and Industrial Research), Kolkata, 700032, India
3 Potsdam Institute for Climate Impact Research, Telegraphenberg, Potsdam, Germany
We propose a rationale for experimentally studying the intricate relationship between the rate of information transmission and synchronization level in active networks, applying theoretical results recently proposed. We consider two non-identical coupled Chua's circuit with non-identical coupling strengths in order to illustrate the proceeding for experimental scenarios of very few data points coming from highly non-coherent coupled systems, such that phase synchronization can only be detected by methods that do not rely explicitely on the calculation of the phase. A relevant finding is to show that for the coupled Chua's circuit, the larger the level of synchronization the larger the rate of information exchanged between both circuits. We further validate our findings with data from numerical simulations, and discuss an extension to arbitrarily large active networks.
© EDP Sciences, Springer-Verlag, 2008