一类具有四翼吸引子的超混沌系统

构造超混沌系统在目前并非难事，在Chua系统基础上构造具有多涡卷拓扑结构的吸引子也有很多系统方法，但较少有文献讨论基于Lorenz系统族的拥有多翼结构吸引子的光滑混沌系统，而同时具备超混沌特性和多翼拓扑结构吸引子的光滑混沌系统则更少报道.在现有超混沌系统的基础上，分析其共性，并利用坐标变化方法将其转为具有四个翼的超混沌吸引子.该方法在保留了系统原有超混沌特性的基础上，增加了吸引子的拓扑结构复杂性，使之更适合保密通信等领域的应用. 关键词： 多涡卷吸引子 多翼吸引子 超混沌

A family of hyperchaotic systems with four-wing attractors

It is easy to construct a hyperchaotic system，and many systematic approaches，based on Chua system，can be used for generating multi-scroll attractors. However, few reports discuss the smooth Lorenz-like system with multi-wing attractors，and the attractors with both hyperchaotic dynamics and multi-wing topological structure are seldom reported. Based on the existing smooth hyperchaotic system，the common characteristics of these systems are analyzed. A novel coordination transformation method is used for converting all the attractors' topological structure from two-wing to four-wing. Moreover，the hyperchaotic property is preserved in resulting system，the complexity of attractors is enhanced，and they are more suitable to be used in secure encryption communication.