含隐藏吸引子的分数阶Sprott E系统动力学分析及投影同步

Dynamics analysis and projective synchronization of fractional Sprott E systems with hidden attractors

调整分数阶Sprott E系统的参数,使其仅含有一个稳定平衡点.根据分数阶稳定理论,分析系统平衡点的稳定性,证明隐藏吸引子的存在.使用分岔图、相轨迹、功率谱、时序图、庞加莱截面方法,分析该系统的混沌动力学行为.基于投影同步的方法设计控制器,对系统进行同步控制.数值仿真结果表明该控制器具有有效性.

To include only one stable equilibrium point,the parameters of the fractional Sprott E system were adjusted.According to the theory of fractional stability,the stability of the equilibrium point of the system was analyzed,and the existence of hidden attractors was verified.The chaotic dynamic behavior of the system was analyzed by using the bifurcation diagram,the phase trajectory,the power spectrum,the timing diagram,and the Poincare section method.The controller was designed based on the method of projection synchronization to synchronize the system.Numerical simulation results showed that the controller was effective.