摘要
针对现有一维混沌系统存在Lyapunov指数低、混沌区间小且不连续、生成的序列分布不均匀且相关性高等问题;本文提出了一新一维混沌系统,通过绘制Lyapunov指数图和分岔图研究了新混沌系统的性能,研究结果表明,此新一维混沌系统具有结构简单、混沌区间大、区间连续、混沌序列分布均匀、系统Lyapunov指数高和可控参数多等优点,同时具有混沌序列空间分布似随机的特点。最后,基于C_0复杂度与SE复杂度算法分析了新一维混沌系统输出序列的复杂度;结果表明,新系统为广域高SE复杂度混沌系统,且新系统C_0复杂度高于简化Lorenz和超混沌Lorenz系统的C_0复杂度。
Focused on the issue of existing one- dimensional chaotic system that low Lyapunov exponent,the limited and discontinuous range of chaotic behaviors,the nonuniform date distribution and high correlativity of output chaotic sequences. This paper proposes a new 1D chaotic system with more paramenters,simple structure,larger and continuous chaotic range,the uniform date distribution of output chaotic sequences,the high Lyapunov exponent and space distribution random of output chaotic sequences. To analyze the complexity of chaotic pseudo- random sequences,C0 and spectral entropy（ SE） algorithm is used to analyze chaotic pseudo- random sequences generated by the new 1D chaotic system.The experimentai results have shown that the new chaotic system is wide area high SE complexity of chaotic systems and higher C0 complexity than the simplified Lorenz system and hyper-chaotic Lorenz system.
出处
《自动化与仪器仪表》
2016年第10期135-138,共4页
Automation & Instrumentation
关键词
混沌系统
谱熵算法
C0算法
复杂度
chaotic system
spectral entropy
C_0 algorithm
complexity
