Chaos and Its Synchronization in a Fractional Order Neutral Differential System

Abstract

In this paper, for the first time, chaos in fractional-order neutral delay differential equation(NDDE) is discussed. Chaos in fractional-order neutral delay differential equation is illustrated by presenting its waveform graphs, states diagrams and bifurcation graphs. Also the investigating result shows that the chaos in such fractional order neutral delay differential equation can be synchronized and realize spread secure communications.