STRANGE NONCHAOTIC ATTRACTORS IN A QUASIPERIODICALLY FORCED ARTICULATED MOORING TOWER MODEL

Yunzhu Shen, Yongxiang Zhang and Huidong Xu
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Yunzhu Shen: School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P. R. China
Yongxiang Zhang: School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P. R. China
Huidong Xu: ��College of Mechanics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 08, 1-14

Abstract: 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.

Keywords: Strange Nonchaotic Attractors; Fractal; Piecewise Smooth System; The Largest Lyapunov Exponent (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21502650

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