Editing Pendulum (section)

=== Double pendulum ===
[[File:Double-compound-pendulum.gif|thumb|Animation of a double compound pendulum showing chaotic behaviour. The two sections have the same length and mass, with the mass being distributed evenly along the length of each section, and the pivots being at the very ends. Motion computed by fourth-order Runge–Kutta method.]]
{{Main|Double pendulum}}

In [[physics]] and [[mathematics]], in the area of [[dynamical systems]], a [[double pendulum]], also known as a chaotic pendulum, is a pendulum with another pendulum attached to its end, forming a simple [[physical system]] that exhibits rich [[dynamical systems|dynamic behavior]] with a [[butterfly effect|strong sensitivity to initial conditions]].<ref>{{cite journal |last1=Levien |first1=R. B. |last2=Tan |first2=S. M. |title=Double Pendulum: An experiment in chaos |journal=[[American Journal of Physics]] |year=1993 |volume=61 |issue=11 |page=1038 |doi=10.1119/1.17335 |bibcode=1993AmJPh..61.1038L }}</ref> The motion of a double pendulum is governed by a set of coupled [[ordinary differential equation]]s and is [[chaos theory|chaotic]].