计算机工程与应用Issue(2)：92-98,161,8.DOI:10.3778/j.issn.1002-8331.1203-0493
超混沌系统的构造方法研究
Approach to construction of hyperchaotic system
摘要
Abstract
In this paper, by analyzing the Lorenz system’s structure, increasing the dimension of the differential equa-tions and introducing a nonlinear term, a necessary condition for hyperchaotic system is proposed based on the Lorenz sys-tem, according to which a new four-dimensional hyperchaotic Lorenz system and a five-dimensional hyperchaotic Lorenz system are constructed, respectively. The two new hyperchaotic systems are compared with other chaotic systems, and the results reveal that the new chaotic systems have good dynamic characteristics and can provide a larger key space and a bet-ter dynamic nonlinearity, which not only provides a new way for image encryption, but also enriches the chaos theory.关键词
超混沌系统/Lorenz系统/Lyapunov指数/图像加密Key words
hyperchaotic system/Lorenz system/Lyapunov exponents/image encryption分类
信息技术与安全科学引用本文复制引用
章秀君,吴志强,方正..超混沌系统的构造方法研究[J].计算机工程与应用,2014,(2):92-98,161,8.基金项目
国家自然科学基金（No.50539020）；江西省科技攻关计划重点资助项目（No.20041A0100300）；南昌工程学院青年基金-自然科学项目（No.2012KJ018，No.2012KJ024，No.2012KJ020）。 （）
