摘要
混沌模型的设计和建立对于混沌的应用有着至关重要的作用。为给混沌保密通信提供一个有效的混沌系统模型,通过对Qi三维混沌系统状态变量的重新组合,构造了新的非线性项,提出了具有新架构的四维动力学系统。在多次实验所得的参数配置下,证明了所提系统存在混沌特性,具有新蝶翼吸引子。采用简单的模拟器件,通过EWB仿真,实现了具有新架构四维系统分数阶电路的构建,证明了电路的可实现性。通过设计切换控制器,产生了多涡卷系统,得到了更为复杂的状态特性。
The design and build of the chaotic model has a vital role in the applications of chaos. In order to provide an effective chaotic model for secure communication, a novel four-dimensional dynamical system with a new architecture is constructed by reeombining the state variables of the Qi three-dimensional chaotic system. With parameters obtained from several experiments, numerical simulations and theoretical analysis show the chaotic characteristics of the new system and the existence of a new butterfly attractor. An fractional-order circuit using simple analog devices is designed using EWB to demonstrate the existence of the chaos. To get more complex characteristics, by designing switching controllers, the generation of multi-scroll system is realized.
出处
《科学技术与工程》
北大核心
2014年第14期69-75,共7页
Science Technology and Engineering
基金
国家自然科学基金(61072133)
江苏省“六大人才高峰”项目
江苏省“传感网与现代气象装备”优势学科建设项目
江苏省产学研联合创新资金计划(BY2011112)
江苏省高校科研成果产业化推进项目(JHB2011-15)课题资助
关键词
四维混沌
分数阶电路
切换控制
多涡卷
four-dimensional chaotic system fractional-order circuit switching control multi-scroll