STRANGE NONCHAOTIC ATTRACTORS IN A QUASIPERIODICALLY FORCED ARTICULATED MOORING TOWER MODEL

被引：4
作者：
Shen, Yunzhu [1 ]
Zhang, Yongxiang [1 ]
Xu, Huidong [2 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
[2] Taiyuan Univ Technol, Coll Mech, Taiyuan 030024, Shanxi, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Strange Nonchaotic Attractors; Fractal; Piecewise Smooth System; The Largest Lyapunov Exponent; DYNAMICS; BIRTH; BIFURCATIONS; TRANSITION; COLLISION; ROUTE; SYNCHRONIZATION; SYSTEMS; MOTIONS; CRISES;
D O I：
10.1142/S0218348X21502650
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Strange nonchaotic attractors (SNAs) are investigated in a quasiperiodically forced piecewise smooth articulated mooring tower model. The smooth torus becomes wrinkled and loses its continuity considerably with the change of the control parameter. Then SNAs emerged due to the fractal property of wrinkled torus. SNAs are identified by the largest Lyapunov exponent, phase diagrams and phase sensitivity exponents. Fractal (strange) properties of SNAs are further explored by the rational approximation, power spectra and spectral distribution function, recurrence analysis, the largest Lyapunov exponent and its variance.
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页数：14
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