The left and right pendulums have masses

and

and lengths

and

, respectively. Both points of attachment have mass

. The coordinates

and

are the initial horizontal positions of the attachment points, and

and

are the initial angles of the pendulums, measured relative to the vertical. Besides the mass

, the interaction or the synchronization parameters are the stiffness constant

of the spring and the damping

of the attachment points of the pendulums. The parameters

and

are related with the characteristics of the limit cycle in phase-space of each individual pendulum;

is related to the speed with which each pendulum approaches the limit cycle, and

is related to the amplitude of the limit cycle. For further details see "

Synchronizing Huygens's Clocks" and "

On the Problem of Synchronization of Identical Dynamical Systems: The Huygens's Clocks".