摘要
构建了两个新的三维自治连续混沌系统,其重要特点是它们均有线平衡以及一个线性项。分析了两个系统的平衡点、Lyapunov指数谱和分岔图等。借助于拓扑马蹄理论和数值计算,找到了两个系统的拓扑马蹄,并获得了拓扑熵。基于条件Lyapunov稳定性理论,采用主动控制同步法实现了两个系统的异结构同步。数值模拟和理论分析验证了所设计控制器的有效性。
Here, two new 3-D autonomous continuous chaotic systems were constructed. Their important characteristics were that each of them has line equilibrium and only one linear term. The two systems’ equilibrium point, Lyapunov exponent spectrum and bifurcation diagram were investigated, respectively. By means of the topological horseshoe theory and numerical computation, their topological horseshoes and topological entropies were obtained. Based on the conditional Lyapunov stability theory, the different structure synchronization between the two chaotic systems was realized using the active control synchronization method. Numerical simulation and theoretical analysis verified the effectiveness of the designed controller.
作者
鲜永菊
夏诚
钟德
徐昌彪
XIAN Yongju;XIA Cheng;ZHONG De;XU Changbiao(School of Communication and Information Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;School of Optoelectronic Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2019年第7期71-76,共6页
Journal of Vibration and Shock
基金
国家自然科学基金青年科学基金(61602073)
关键词
混沌系统
线平衡
拓扑马蹄
异结构同步
chaotic system
line equilibrium
topological horseshoe
different structure synchronization
