一个新超混沌系统的动力学分析及其电路实现  

Dynamic analysis and circuit experiment of a new hyperchaos system

作　　者：徐家宝[1] 吴凤娇[1] 黄心笛 赵嘉[1] 王坤[1] 宋芮 

机构地区：[1]西北农林科技大学水利与建筑工程学院电气系,陕西杨凌712100

出　　处：《微型机与应用》2014年第4期67-70,共4页Microcomputer & Its Applications

基　　金：西北农林科技大学国家级"大学生创新创业训练计划"资助课题(1210712090)

摘　　要：构造了一个新的超混沌系统,通过Matlab绘制其相轨迹图,初步判断该系统具有混沌吸引子。从平衡点、对称性和不变性、耗散性和混沌吸引子的存在性、Lyapunov指数谱以及Poincare截面,对该新超混沌系统从定性和定量方面进行了详细的动力学分析,加深了对该超混沌系统的认识。最后,搭建了Multisim电路对该超混沌系统进行电路仿真实验,实验结果与Matlab数值模拟结果相一致,验证了该系统的实际超混沌特性。A new hyperchaos system was constructed. The space trajectory indicates that the system contains chaotic attractor. The chaotic complex dynamic characteristics of the new hyperchaos system were analyzed, including the equilibrium point, the symmetry, the dissipativity, the Lyapunov exponents and the Poincare map. These characteristics enable us to know the system deeply. And then the hyperchaos circuit was built to verify the practical value of the hyperchaos system.

关 键 词：超混沌系统 动力学分析 LYAPUNOV指数 电路仿真 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]