拉伸式3-D多涡卷混沌系统的设计及其在必威体育官网网址通信中的应用Designof.PDF

第 37 卷第 12 期 通 信 学 报 Vol.37 No.12 2016 年 12 月 Journal on Communications December 2016 doi:10.11959/j.issn.1000-436x.2016280 拉伸式 3-D 多涡卷混沌系统的设计及其在必威体育官网网址通信中的应用 马均澎，王丽丹，段书凯，吴洁宁 （西南大学电子信息工程学院非线性电路与智能信息处理重庆市重点实验室，重庆 400715 ） 摘 要：基于典型的 Chua 式电路，提出了一种拉伸式多涡卷混沌系统。首先，通过系统的对称性、不变性、耗 散性、系统平衡点和稳定性，分析了混沌的分维特性、时域波形、Lyapunov 指数谱等基本的混沌动力学特性。其 次，利用 PSPICE 实现了该系统的混沌电路。最后，结合 Lyapunov 稳定性原理，运用单向耦合法，探究了该混沌 系统的同步性问题，并采用该方法有效地实现了特定信号的加密、解密。数值仿真与实验结果保持一致，进一步 证实了该方法的可行性。 关键词：Chua 电路；必威体育官网网址通信；多涡卷混沌吸引子；电路实现 中图分类号：TP309 文献标识码：A Design of a tensile-type 3-D multi-scroll chaotic system and its application in secure communication MA Jun-peng, WANG Li-dan, DUAN Shu-kai, WU Jie-ning (Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China) Abstract: A kind of tensile-type 3-D multi-scroll chaotic attractor based on Chua’s circuit was successfully designed. The chaos generation mechanism was studied by analyzing the symmetry and invariance, the existence of the dissipation, as well as the system equilibrium and stability. Then, some basic dynamical properties, such as Lyapunov exponents, fractal dimension, chaotic dynamical behaviors of the new chaotic system were introduced, either numerically or analytically. At the same time, the chaotic circuit of this system was realized by PSPICE. Finally, based on Lyapunov theorem and unidi- rectionally coupled method, the synchronization of the chaotic system has also been investigated. With this approach, the nov