Characteristic Analysis of Strange Nonchaotic Attractors for a Quasiperiodically-forced Piecewise Smooth System
ZHAO Yifan1, SHEN Yunzhu2, DU Chuanbin2
1. School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China; 2. School of Mathematical Sciences, Jinan University, Jinan 250022, China
Abstract：A quasiperiodically-forced piecewise smooth system is used as the research object to confirm the existence of strange nonchaotic attractors and further analyze several characteristics. Firstly, qualitative methods of phase diagram and power spectrum are used to analyze the fractal characteristics of strange nonchaotic attractors. Some quantitative methods such as the maximum Lyapunov exponent, phase sensitivity exponent, spectral distribution function and finite-time Lyapunov exponent are used to describe the characteristics of strange nonchaotic attractors. The results show that strange nonchaotic attractors can exist in the system under certain parameters, and exhibit a variety of statistical properties different from other types of attractors.
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