Editing Double pendulum (section)

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{{Short description|Pendulum with another pendulum attached to its end}}{{more footnotes|date=June 2013}}
[[Image:Double-Pendulum.svg|upright|thumb|A double pendulum consists of two [[pendulum]]s attached end to end.]]
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 |last=Levien |first=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 pair of coupled [[ordinary differential equation]]s and is [[chaos theory|chaotic]].