一个新混沌吸引子及其控制

在Lv系统的基础上,构造了一个新的三维自治混沌系统.通过理论分析和相轨迹图、分岔图和Lyapunov指数谱等非线性动力学分析方法研究了系统的丰富的非线性动力学行为.结果表明：系统是耗散的;系统存在5个平衡点,因而与Lv系统是非拓扑等价的;系统的轨线是有界的;当参数满足一定条件时,系统是混沌的.最后用正弦函数加到系统的某...

A new chaotic attractor and its control

Based on the Lv system,a new three-dimensional autonomous chaotic system is obtained in this paper.The rich dynamics characteristics of the new system are analyzed by means of theoretical analysis and nonlinear techniques,such as phase diagram,bifurcation diagram and Lyapunov exponent spectrum.Results show this system is dissipitive;it has five quilibrium points,therefore it is not topologically equivalent to the Lv system;the trajectory is bounded,and the new system is chaotic when its parameters satisfy certain conditions.Sine function is employed to guide chaotic motions to stable periodic state finally.Numerical simulations show the effectiveness and applicability of method.