一种四螺旋混沌系统仿真研究

为了改善Lü系统的混沌特性,通过在混沌Lü系统上添加一维线性状态反馈控制器,构建了一个新的四维连续自治混沌系统,得到了奇异的四螺旋鲁棒混沌吸引子。利用相轨图、Lyapunov指数谱等数值方法,其最大Lyapunov指数为正值且几乎恒定不变,系统具有很好的鲁棒性.随控制参数变化,系统能够从四螺旋混沌吸引子演变成双螺旋混沌吸引子。通过在混沌Lü系统电路上外加一个简单的线性积分电路实现了新混沌系统的实验电路,实验仿真与数值方法所得结果有着很好的一致性。

Four-scroll robust chaotic attractor

In order to improve the chaotic Lü system,chaotic Lü system by adding a linear state feedback controller,built a new four-dimensional continuous autonomous chaotic system has been fantastic four spiral robust chaotic attractors.Using the Orbit in Speed,Lyapunov exponent spectrum and other numerical methods,the maximum Lyapunov index for the positive and almost constant change and so the system has good robustness.Sui control parameter changes from the quadruplex system can evolve into chaotic attractor Double Helix chaotic attractors.Lü chaotic system by circuit plus a simple linear integrated circuits to achieve a new chaotic system test circuit,test the results of simulation and numerical methods have a good consistency.