Synchronizing Pendulum Clocks
Synchronizing Pendulum Clocks
This simulation shows the anti-phase and the in-phase synchronization of two pendulum clocks. The interaction between the pendulums is mediated by a massless spring with stiffness constant . The pendulums are attached to two masses with mass constant , and is the damping of the masses. The parameters and are associated with the limit cycle of the individual pendulum clocks. In some cases, the clocks always synchronize in anti-phase. In other cases, depending on the initial conditions, the clocks can synchronize with the same phase or in anti-phase.
k
M
ρ
λ
θ