Abstract
In recent years, importance of analyzing complex systems has been increasing from the viewpoint of nonlinear dynamics. Nonlinear dynamical systems can have bifurcation in which a solution changes qualitatively with change of a parameter. If the number of coupling oscillators is large, then : behaviors are usually quite complicated and analysis of them is difficult. To investigate characteristics of such nonlinear coupling, numerical analyses and experiments of forced vibration were conducted by using a dynamical model of a coupled high-T_c superconducting levitation system. Motion pattern of each magnet in time and spatial correlation of all magnets' motion were analyzed by applying FFT, Poincare mapping and POD (Proper Orthogonal Decomposition) to time series data obtained by experiments and numerical analyses. It was found that change in pattern of vibration of each magnet can be accompanied by change in spatial correlation of all magnets' vibration. We also investigated complicated transient behaviors of many coupling oscillators.
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