一种改进的复合混沌系统及其性能An improved composite chaotic system and its performance
张雪锋,刘伟东,姜文
摘要(Abstract):
针对现有一维复合混沌系统存在的混沌区间不连续、混沌区间小、序列随机性差以及初值敏感性低等问题,提出一种改进的一维复合混沌系统。该系统使用Logistic映射和Sine映射作为种子映射,通过扩展系统参数对种子映射进行随机地复合和组合,然后取模得到混沌映射。对该复合混沌系统的李雅普诺夫(Lyapunov)指数、分岔图、序列随机性、相关系数、平衡度、初值敏感性和位变化率等性能指标进行仿真,结果表明,与相关的一维复合混沌系统相比,提出混沌系统混沌区间连续无断点、混沌区间较大、生成序列随机性能较好,初值敏感性较高,表现出更为复杂的混沌特性。
关键词(KeyWords): 复合混沌系统;Logistic映射;Sine映射;相关系数
基金项目(Foundation): 陕西省自然科学基础研究计划项目(2021JQ-722)
作者(Author): 张雪锋,刘伟东,姜文
DOI: 10.13682/j.issn.2095-6533.2022.01.007
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