TY - JOUR
T1 - Strange Nonchaotic Attractors In A Periodically Forced Piecewise Linear System With Noise
AU - Gaolei, L. I.
AU - Yuan, Y. U.E.
AU - Grebogi, Celso
AU - Denghui, L. I.
AU - Jianhua, X. I.E.
N1 - Acknowledgments
This work is supported by the National Natural Science Foundation of China (NNSFC) (Nos. 12072291, 11732014 and 12172306)
PY - 2022
Y1 - 2022
N2 - The study of strange nonchaotic attractors (SNAs) has been mainly restricted to quasiperiodically forced systems. At present, SNAs have also been uncovered in several periodically forced smooth systems with noise. In this work, we consider a periodically forced nonsmooth system and find that SNAs are created by a small amount of noise. SNAs can be generated in different periodic windows with weak noise perturbation. If the parameter is varied further from the chaotic range, a larger noise intensity is required to induce SNAs. Besides, noise-induced SNAs can be generated by the periodic attractors near the boundary crisis. In addition, with the increasing noise intensity, the intermittency between SNAs and periodic attractors can be induced by transient chaos. The characteristics of SNAs are analyzed by the Lyapunov exponent, power spectrum, singular continuous spectrum, spectral distribution functions, and finite time Lyapunov exponent.
AB - The study of strange nonchaotic attractors (SNAs) has been mainly restricted to quasiperiodically forced systems. At present, SNAs have also been uncovered in several periodically forced smooth systems with noise. In this work, we consider a periodically forced nonsmooth system and find that SNAs are created by a small amount of noise. SNAs can be generated in different periodic windows with weak noise perturbation. If the parameter is varied further from the chaotic range, a larger noise intensity is required to induce SNAs. Besides, noise-induced SNAs can be generated by the periodic attractors near the boundary crisis. In addition, with the increasing noise intensity, the intermittency between SNAs and periodic attractors can be induced by transient chaos. The characteristics of SNAs are analyzed by the Lyapunov exponent, power spectrum, singular continuous spectrum, spectral distribution functions, and finite time Lyapunov exponent.
KW - Crisis
KW - Intermittency
KW - Noise
KW - Piecewise Linear System
KW - Strange Nonchaotic Attractor
UR - http://www.scopus.com/inward/record.url?scp=85121391855&partnerID=8YFLogxK
U2 - 10.1142/S0218348X22500037
DO - 10.1142/S0218348X22500037
M3 - Article
AN - SCOPUS:85121391855
VL - 30
JO - Fractals
JF - Fractals
SN - 0218-348X
IS - 1
M1 - 2250003
ER -