拉伸式3-D多涡卷混沌系统的设计及其在保密通信中的应用

doi:10.11959/j.issn.1000-436x.2016280

摘要/Abstract

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, 保密通信, 多涡卷混沌吸引子, 电路实现

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 novel system can be applied to secure communication, which can achieve the purpose of covering specific signals. The experimental results are in agreement with numerical simulation results, which verifies the availability and feasibility of this method.

Key words: Chua's circuit, secure communication, multi-scroll attractors, circuit realization

马均澎,王丽丹,段书凯,吴洁宁. 拉伸式3-D多涡卷混沌系统的设计及其在保密通信中的应用[J]. 通信学报, 2016, 37(12): 142-155.

Jun-peng MA,Li-dan WANG,Shu-kai DUAN,Jie-ning WU. Design of a tensile-type 3-D multi-scroll chaotic system and its application in secure communication[J]. Journal on Communications, 2016, 37(12): 142-155.

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