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

马均澎; 王丽丹; 段书凯; 吴洁宁

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

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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

学术通信 | 更新时间：2024-06-05

- 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
- Design of a tensile-type 3-D multi-scroll chaotic system and its application in secure communication
- 通信学报 2016年37卷第12期页码：142-155
- 作者机构：
  
  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
- 作者简介：
  
  [ "马均澎（1991-），男，山西运城人，西南大学硕士生，主要研究方向为混沌电路设计、非线性系统控制。" ]
  [ "王丽丹（1976-），女，河南长垣人，西南大学教授、博士生导师，主要研究方向为人工神经网络、非线性系统与电路设计、忆阻器与忆阻系统。" ]
  [ "段书凯（1976-），男，重庆人，西南大学教授、博士生导师，主要研究方向为智能信息处理、自动控制及检测系统。" ]
  [ "吴洁宁（1991-），女，重庆人，西南大学硕士生，主要研究方向为忆阻混沌电路设计、复杂网络。" ]
- 基金信息：
  
  国家自然科学基金资助项目(61372139);国家自然科学基金资助项目(61571372);中央高校基本科研业务费专项资金资助项目(XDJK2016A001);中央高校基本科研业务费专项资金资助项目(XDJK2014A009)
- DOI：10.11959/j.issn.1000-436x.2016280
  中图分类号： TP309
- 网络出版日期：2016-12，
  
  纸质出版日期：2016-12-25
- 稿件说明：
移动端阅览
马均澎, 王丽丹, 段书凯, 等. 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, et al. 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.
马均澎, 王丽丹, 段书凯, 等. 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. DOI： 10.11959/j.issn.1000-436x.2016280.

Jun-peng MA, Li-dan WANG, Shu-kai DUAN, et al. 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. DOI： 10.11959/j.issn.1000-436x.2016280.

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。

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.

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Keywords

references

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