Modulated Feedback and Coupling Time Delays, and All-to-all Chaos Synchronisation in a Network of Networks: One of the Simplest Cases
E. M. Shahverdiev *
Institute of Physics, H.Javid, 33, Baku, AZ1143, Azerbaijan
P. A. Bayramov
Institute of Physics, H.Javid, 33, Baku, AZ1143, Azerbaijan
R. A. Nuriev
Institute of Physics, H.Javid, 33, Baku, AZ1143, Azerbaijan
L. H. Hashimova
Institute of Physics, H.Javid, 33, Baku, AZ1143, Azerbaijan
M. V. Qocayeva
Institute of Physics, H.Javid, 33, Baku, AZ1143, Azerbaijan
*Author to whom correspondence should be addressed.
Abstract
The study reports on all- to- all chaos synchronisation in a network of networks based on the Ikeda model. The study considered one of the simplest cases. It found the existence and stability conditions for such a synchronisation regime. Numerical simulations validated the analytical findings. The results can be of certain importance in achieving high- level output for the coupled systems and information processing.
Keywords: Network of networks, Ikeda model, time-delay systems, modulated feedback and coupling delay times, all-to-all chaos synchronisation, existence and stability conditions