超混沌吸引子的翼倍增方案

Scheme for doubling the number of wings in hyperchaotic attractors

通过对一个五维超混沌系统施加平移变换、镜像映射和滞回切换操作,将多翼混沌吸引子结构由双翼倍增为四翼.施加n-1次相似操作可以得到2n翼的超混沌吸引子.设计了一个简单的电路实现吸引子翼数量的倍增.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.

The construction methods for designing multi-wing attractors are rarely mentioned little. With the application of coordinate translation,mirror mapping and hysteresis switching to an existing five-dimensional hyperchaotic system,we can double the number of wings and a four-wing attractor is realized. If similar operations have been applied to the system n-1 times,a 2n-wing attractor can be constructed. A simple circuit implementation was designed for doubling the number of wings in attractors. On the basis of preserving the hyperchaotic property of resulting system,the complexity of attractor is enhanced and it is more suitable for use in secure encryption communication.