Abstract
The existence of strange nonchaotic attractors (SNAs) and the associated mechanisms are studied in a class of quasiperiodically forced piecewise smooth systems. We show that the birth of SNAs is through interior crisis, basin boundary metamorphosis, discontinuous quasiperiodic orbits, and double crisis routes. Compared with the fractal, torus-doubling, and type-I intermittency routes, the four routes have more abundant dynamical phenomena, namely, the crisis-induced intermittency, the collision between attractors and the boundaries of fractal basin, the discontinuous quasiperiodic orbits, and the double crisis vertices. The characteristics of SNAs are described with the help of some qualitative and quantitative methods, such as the Lyapunov exponent, phase sensitivity function, critical exponent, and power spectrum.
Original language | English |
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Journal | Nonlinear Dynamics |
Publication status | Accepted/In press - 25 Apr 2024 |
Bibliographical note
AcknowledgmentsWe sincerely thank the people who give valuable comments. The paper was supported by the National Natural Science Foundation of China (NNSFC) (Nos. 12362002 and 12172340), the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (Nos. G1323523061 and G1323523041), and the Young Top-notch Talent Cultivation Program of Hubei Province.