It is known that the two controlled chaotic systems approach synchronization for any initial condition by proper controller design. Quite a number of alternative methods are available to synchronize the chaotic systems. Master-slave control technique is the most synchronization approaches used for the chaotic systems. In this paper, nonlinear active controller is obtained to synchronize the two identical dissipative fermionic systems in their chaotic states for different initial values. The synchronization is presented in the master–slave structure which implies that the states of the controlled chaotic slave system asymptotically synchronizes the states of the master system. Also the numerical simulations are given to show the effectiveness of the used controllers.

众所周知，通过适当的控制器设计，两个受控混沌系统在任何初始条件下都接近同步。相当多的替代方法可用于同步混沌系统。主从控制技术是混沌系统中使用最多的同步方法。在本文中，获得了非线性有源控制器，以在不同初始值的混沌状态下同步两个相同的耗散费米子系统。同步呈现在主从结构中，这意味着受控混沌从属系统的状态渐近同步主系统的状态。还给出了数值模拟以显示所用控制器的有效性。