Derivation and Experimental Validation of the Equations of Motion of Magnetic Pendulums

R. Hosseini, G. Heppler, E. Abdel-Rahman
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Abstract

A series of coaxial magnetic pendulums is studied as a simple physical surrogate for more general nonlinearly coupled almost-identical resonators that arise in quantum communications and the dynamics of social networks. The equations of motion for a series of coaxial magnetic pendulums are derived, and the solution is compared to experimental results. The equilibrium points and their stability are also determined.
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磁摆运动方程的推导与实验验证
本文研究了一组同轴磁钟摆,作为量子通信和社会网络动态中出现的更一般的非线性耦合几乎相同谐振器的简单物理替代品。推导了一系列同轴磁摆的运动方程,并与实验结果进行了比较。并确定了平衡点及其稳定性。
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