Strange nonchaotic attractors in a quasiperiodically forced articulated mooring tower model. (English) Zbl 1498.37060
Summary: 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.
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 70K43 | Quasi-periodic motions and invariant tori for nonlinear problems in mechanics |
| 28A80 | Fractals |
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