计算机工程与应用Issue(7)：235-239,262,6.DOI:10.3778/j.issn.1002-8331.1110-0037
超混沌 Lorenz系统的电路实现与应用
Circuit implementation and application of hyperchaotic Lorenz system
摘要
Abstract
On the basis of the classical three-dimensional Lorenz system, this paper increases a nonlinear controller to construct a new four-dimensional hyperchaotic Lorenz system. The dynamics of the new system conduct are studied by bifurcation analysis, Lyapunov exponent spectrum and phase chart fractal dimension. Numerical simulations show that the hyperchaotic Lorenz system can render different dynamics behavior of hyperchaos, chaos, periodicity and quasi-periodicity. Furthermore, a corre-sponding experiment circuit is designed, the mechanics conduct of the electrical system through a oscillogram is observed, the result basically unanimous with the numerical simulation results. Finally, the new hyperchaotic system is applied to image encryption, and computer simulation experiments confirm that the new hyperchaotic system can produce good cryptographic properties of pseudo-random sequence.关键词
Lorenz系统/超混沌/Lyapunov 指数/混沌电路/图像加密Key words
Lorenz system/hyperchaos/Lyapunov exponents/chaotic electric circuit/image encryption分类
信息技术与安全科学引用本文复制引用
庞寿全,刘永建,朱从旭..超混沌 Lorenz系统的电路实现与应用[J].计算机工程与应用,2013,(7):235-239,262,6.基金项目
国家自然科学基金(No.11161051,No.61073187) （No.11161051,No.61073187）
