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多涡卷超混沌系统的设计与性能分析

孙克辉 艾星星 贺少波

中南大学学报(自然科学版)Issue(5):1663-1672,10.
中南大学学报(自然科学版)Issue(5):1663-1672,10.DOI:10.11817/j.issn.1672-7207.2015.05.014

多涡卷超混沌系统的设计与性能分析

Design of multi-scroll hyperchaotic system and analysis on its characteristic

孙克辉 1艾星星 2贺少波1

作者信息

  • 1. 中南大学物理与电子学院,湖南长沙,410083
  • 2. 新疆大学物理科学与技术学院,新疆乌鲁木齐,830046
  • 折叠

摘要

Abstract

To establish a multi-scroll hyperchaotic system with complex structure and good performance, based on theoretical analysis and simulation methods, single direction and grid multi-scroll models were presented by designing a continuous nonlinear function from a six-order hyperchaotic system. Dynamical characteristics of multi-scroll hyperchaotic attractor were analyzed by observing attractors phase diagram, Lyapunov exponents spectrum, bifurcation diagram, Poincaré section and complexity. The results show that the multi-scroll hyperchaotic attractors have rich dynamical characteristics. Simulation results are accordant with those of the theoretical analysis, which shows that the method of designing multi-scroll hyperchaotic system is effective and the designed model is correct.

关键词

超混沌吸引子/多涡卷吸引子/连续非线性函数/动力学特性

Key words

hyperchaotic attractor/multi-scroll attractor/continuous nonlinear function/dynamic characteristic

分类

信息技术与安全科学

引用本文复制引用

孙克辉,艾星星,贺少波..多涡卷超混沌系统的设计与性能分析[J].中南大学学报(自然科学版),2015,(5):1663-1672,10.

基金项目

国家自然科学基金资助项目(61161006,61073187);中央高校基本科研业务费资助项目(72150050650)@@@@(Projects(61161006,61073187) supported by the National Natural Science Foundation of China (61161006,61073187)

Project(72150050650) supported by the Fundamental Research Funds for the Central Universities) (72150050650)

中南大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1672-7207

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