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Recently, researchers have reported that couplings play a crucial role in determining important evolutions of nonlinear systems. In this paper, the collective dynamics of two coupled permanent-magnet synchronous motors (PMSMs) are investigated, and it is found that with positive and negative couplings, the coupled PMSMs display rich phenomena, such as complete synchronization, amplitude death (AD), antiphase synchronization, phase-flip transition, and so on. Among these collective behaviors, AD, which is of considerable importance in maintaining the secure and stable operation of coupled PMSMs, is extensively studied. The relationship among various dynamics and transitions to AD is also illustrated.
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Wei et al. (2013) studied this question.
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