Self-synchronization of coupled chaotic FitzHugh–Nagumo systems with unreliable communication links

The problem for self-synchronization of coupled chaotic FitzHugh–Nagumo (FHN) systems with unreliable communication links is investigated in this paper. Different from ordinary coupled chaotic systems, the links between two neurons are long-distance and unreliable. Some special network characteristics, such as nonuniform sampling, transmission-induced delays and data packet dropouts, are analyzed in detail. The sufficient condition in terms of linear matrix inequality (LMI) is obtained to guarantee the asymptotical self-synchronization of coupled chaotic FHN systems with unreliable communication links. Lastly, an illustrative example is provided to show the validity of the proposed sufficient condition.

► Self-synchronization of coupled chaotic FHN systems is considered.
► The unreliable communication links include many special network characteristics.
► The sufficient condition in terms of LMI is obtained.