新三维混沌系统及其电路仿真  

A new three-dimensional chaotic system and its circuit simulation

作　　者：唐良瑞[1] 李静[1] 樊冰[1] 翟明岳[1] 

机构地区：[1]华北电力大学电气与电子工程学院,北京102206

出　　处：《物理学报》2009年第2期785-793,共9页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:60402004)资助的课题~~

摘　　要：提出了一个新的不同于Lorenz系统和Chen系统的三维连续自治混沌系统.该系统含有五个参数,其中两个方程中各含有一个非线性乘积项.通过理论推导、数值仿真、Lyapunov指数谱、分岔图、Lyapunov维数、Poincare截面图研究了系统的基本动力学特性,并分析了改变不同参数时系统动力学行为的变化.最后设计了硬件电路并运用电子工作平台Multisim软件对该电路进行仿真实验,证实了该混沌系统的可实现性.A new three-dimensional chaotic system is reported in this paper, which is different from the Lorenz and Chen systems. This new system contains five system parameters and two quadratic cross-product terms. The basic dynamic properties of the new system are investigated via theoretical analysis, numerical simulation, Lyapunov exponent spectrum, bifurcation diagrams, Lyapunov dimension and Poincare diagrams. The different dynamic behaviors of the new system are analyzed when each system parameter is changed. Finally, the chaotic circuit is designed and realized by the Multisim software. It confirms that the chaotic system can be achieved.

关 键 词：混沌系统 LYAPUNOV指数 Poincare截面图 电路仿真 

分 类 号：O415.5[理学—理论物理] TP273[理学—物理]