摘要
研究了Gensio系统平衡点的稳定性、分岔的动力学行为;得到了平衡点稳定性和系统分岔的判别条件.继而研究了混沌广义同步问题,提出了一种新的非线性的广义同步方法,丰富了非线性广义同步.该方法通过适当选取辅助矩阵简化了控制项,并且实现了一大类广义同步;用Gensio系统和R igidbody线性反馈系统验证了该方法的有效性.数值仿真的结果表明,驱动系统和响应系统是快速而单调地达到广义同步的.由于此类非线性广义同步的特点,其在保密通信中将会有较为广泛的应用.
The Gensio system＇s fixed point and its bifurcation behavior are studied, and the criteria of the stability of the fixed point and the system＇s bifurcation are achieved. A new method of realizing nonlinear synchronization is proposed,which enrichs the nonlinear generalized synchronization. With this method, a great number of nonlinear generalized synchronization is realized. By the proper choice of the auxiliary matrix the control items are simplified. Finally, the effectiveness of the method is certified by the Gensio system and the Rigidbody linear black system. The numerical simulation shows that the driving system and the responding system can realize the generalized synchronization quickly and monotonically. According to the characteristics of the nonlinear generalized synchronization, it may find wide use in the secure communication.
出处
《江苏大学学报（自然科学版）》
EI
CAS
北大核心
2006年第6期560-562,共3页
Journal of Jiangsu University：Natural Science Edition
基金
国家博士后基金资助项目(2003033498)
