状态反馈控制声光双稳系统的倍周期分岔和混沌  

Control of Period-doubling Bifurcation and Chaos in Acousto optical Bistable System by the Feedback of States

作　　者：吕翎[1] 杜增[1] 栾玲[1] 

机构地区：[1]辽宁师范大学物理系,大连116029

出　　处：《光子学报》2004年第11期1401-1404,共4页Acta Photonica Sinica

基　　金：国家自然科学基金(No.10175032);辽宁省教育厅自然科学基金(No.202122023)资助

摘　　要：设计了一种动力学状态反馈(DSF)方法控制非线性混沌系统介绍了DSF方法的控制原理,并用此方法控制声光双稳(AOB)系统的混沌,以此验证其有效性仿真模拟显示,通过选择恰当的控制参数,有效地实现了声光双稳(AOB)系统中倍周期分岔的延迟控制和混沌吸引子中原不稳定周期轨道的稳定控制,同时,还可以将系统控制在2np。A new method of dynamical state feedback (DSF) is proposed to control nonlinear chaos system. Control principle is introduced,and the acousto optical bistsble (AOB) system is taken as a typical example to demonstrate the effectiveness of this method.The dynamical behaviors of the AOB system controlled using the DSF method are given by computer numerical simulation. The results show that,the control of delaying period doubling bifurcations and unstable periodic orbits in a chaotic attracter of the AOB system is effectively realized,and other stable periodic orbits 2 np、3 mp and 2 np×3 mp are obtained by adjusting the control parameters.

关 键 词：声光双稳系统 状态反馈 倍周期分岔 混沌 控制 

分 类 号：O415.5[理学—理论物理]