Strange Nonchaotic Attractors for a Quasiperiodic Driven Nonsmooth System with Farey Tree
ZHAO Yifan1, DU Chuanbin2, SHEN Yunzhu2
1. School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China; 2. School of Mathematical Sciences, Jinan University, Ji’nan 250022, China
Abstract：Taking a quasiperiodic driven nonsmooth system with Farey tree as the research object, the existence of the strange nonchaotic attractor is confirmed and its statistical properties are further analyzed. Firstly, the fractal properties of strange nonchaotic attractor are analyzed by using phase diagram and power spectrum qualitative methods. The properties of strange nonchaotic attractor are described by means of maximum Lyapunov exponent, phase sensitive function, recursive analysis, spectral distribution function and finite-time Lyapunov exponent distribution. The results show that there are strange nonchaotic attractors in the system, and strange nonchaotic attractors exhibit a variety of statistical properties different from other types of attractors.
赵奕凡, 杜传斌, 沈云柱. 一类具有Farey Tree特性概周期驱动非光滑系统的奇异非混沌吸引子[J]. 复杂系统与复杂性科学, 2025, 22(1): 83-87.
ZHAO Yifan, DU Chuanbin, SHEN Yunzhu. Strange Nonchaotic Attractors for a Quasiperiodic Driven Nonsmooth System with Farey Tree[J]. Complex Systems and Complexity Science, 2025, 22(1): 83-87.
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