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新型五维保守超混沌系统

赵中军 王运兵 邓雷升 杜久龙 廖世雷

计算机与数字工程2026,Vol.54Issue(6):1595-1599,5.
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计算机与数字工程2026,Vol.54Issue(6):1595-1599,5.DOI:10.3969/j.issn.1672-9722.2026.06.010

新型五维保守超混沌系统

A New Five-dimensional Conservative Hyperchaotic System

赵中军 1王运兵 1邓雷升 1杜久龙 1廖世雷1

作者信息

  • 1. 中国电子科技集团公司第三十研究所 成都 610041
  • 折叠

摘要

Abstract

Conservative chaotic systems lack obvious chaotic attractors,making them less susceptible to attacks using phase space reconstruction methods.Compared to dissipative chaotic systems,they are more suitable for providing valuable nonlinear dy-namic properties for engineering applications such as secure communication,image encryption,and random number generators.Meanwhile,hyperchaotic systems,due to their more unpredictable dynamic properties,are increasingly becoming a focus of re-search in the cryptographic field.Therefore,this paper constructs a novel five-dimensional conservative hyperchaotic system and us-es methods such as dissipation,equilibrium points,bifurcation graphs,Lyapunov exponent spectra,and phase diagrams to de-scribe its dynamic behavior in phase space.Simulation results show that the chaotic system possesses two positive Lyapunov expo-nents,and the five Lyapunov exponents of the system are aligned about the horizontal axis,with a sum of zero.This proves that the system simultaneously satisfies the properties of both hyperchaotic and conservative systems.Finally,this paper conducts NIST ex-periments on the conservative hyperchaotic iterative results generated by this system.The experiments confirm that the iterative re-sults have strong randomness.This paper considers the conservative hyperchaotic system as a fifth-order system,demonstrating su-perior encryption performance and applicability to various security fields.

关键词

超混沌系统/保守系统/连续混沌系统/NIST随机性测试

Key words

hyperchaotic system/conservative system/continuous chaotic system/NIST test

分类

数理科学

引用本文复制引用

赵中军,王运兵,邓雷升,杜久龙,廖世雷..新型五维保守超混沌系统[J].计算机与数字工程,2026,54(6):1595-1599,5.

计算机与数字工程

1672-9722

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