2022年 02期

摘要(Abstract)：

利用相轨迹图、最大李雅普诺夫指数、有理逼近等方法，探讨概周期驱动的二维分段线性范式系统是否存在奇异非混沌吸引子；通过改变控制参数，观察系统的相轨迹图中是否出现分形现象；通过计算最大李雅普诺夫指数，得到奇异非混沌吸引子；通过对比有理逼近图与相轨迹图，验证奇异非混沌吸引子的存在性；通过功率谱、相敏感函数和回归图对奇异非混沌吸引子的存在性进行进一步验证。结果表明，概周期驱动的二维分段线性范式系统中在一定参数范围内的吸引子都是奇异非混沌吸引子，验证了概周期驱动的二维分段线性范式系统中奇异非混沌吸引子的存在性。

关键词(KeyWords)： 非光滑系统;奇异非混沌吸引子;李雅普诺夫指数;相轨迹图

基金项目(Foundation): 国家自然科学基金项目(11732014)

作者(Author): 徐震,沈云柱

DOI: 10.13349/j.cnki.jdxbn.20211125.001

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