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

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.