In this paper, based on the idea of nonlinear observer and stability theory of fractional-order systems, a new systematic scheme to synchronize a class of fractional-order chaotic systems via a scalar transmitted signal is developed. The approach is simple, global and theoretically rigorous. It...

A general definition of synchronization is given, capturing features of both self-synchronized systems and systems synchronized by means of external control. The definition is exemplified by a number of special cases, including frequency or Hugenii synchronization. A new solution to the...

After investigating the effect of the frequency of an external electrical stimulation on the chaotic dynamics of a single FitzHugh–Nagumo (FHN) neuron, this paper derives both a sufficient and a necessary condition of the coupling coefficient for self-synchronization of two interacting FHN...