Dynamics of a Chain of Coupled Pendulums

time

t

100.

number of pendulums

n

5

moment of inertia

I

7.1

torsion constant

C

3.1

mass

m

4.1

length of pendulums

ℓ

2.1

seed

A row of pendulums coupled by torsion springs hangs from a common axis. In the continuum limit, the corresponding system of nonlinear differential equations approaches the sine-Gordon equation, whose solutions can exhibit solitons.