青岛大学学报（自然科学版）2025，Vol.38Issue(2)：10-16,7.DOI:10.3969/j.issn.1006-1037.2025.02.03
概周期激励Lozi系统的奇异非混沌吸引子分析
Analysis of Strange Nonchaotic Attractors in Quasiperiodically Forced Lozi System
摘要
Abstract
Numerical simulation was used to explore the strange nonchaotic attractor and dynamic characteristics of the Lozi system under quasiperiodically drive.The results show that with the change of system parameters,the system gradually evolves from a non-smooth torus to a strange nonchaotic attractor with a fractal architecture.The existence of the strange nonchaotic attractor is verified by the calculation of the maximum Lyapunov index and the phase sensitivity exponent.The characteristics of strange nonchaotic attract-ors were analyzed in detail using methods such as power spectra,local Lyapunov expo-nents distribution and recurrence plots.The rational approximation of the Fibonacci se-quence was used to further reveal the formation process of the strange nonchaotic attract-or.关键词
奇异非混沌吸引子/功率谱/有理近似Key words
strange nonchaotic attractors/power spectra/rational approximation分类
数理科学引用本文复制引用
国红冉,张玉玺,孙小淇..概周期激励Lozi系统的奇异非混沌吸引子分析[J].青岛大学学报（自然科学版）,2025,38(2):10-16,7.基金项目
国家自然科学基金重点项目(批准号:11732014)资助 （批准号:11732014）
山东省自然科学基金面上项目(批准号:ZR2021MA095)资助. （批准号:ZR2021MA095）
