published by Aِl-Baath University
in 2017
in
and research's language is
العربية
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Abstract in English
In this paper, I study the motion of the double pendulum . I write
the Euler -Lagrange equations and canonical Hamilton's
equations. I study the special case in which one angle is constant,
where the double pendulum behaves as a simple pendulum.
I also mention small oscillator's case, where the numerical solution
converges to the analytical solution, for unequal lengths and
masses.
References used
ALI, M . SAHAL, M, Local Lyapunov Exponents and Characteristics of Fixed /Periodic Points Embedded within a Chaotic Attractor, Journal of Zhejiang university science, India, 2005
AWAIS, M. The Double Pendulum Numerical Analysis of Chaos, Journal of Zhejiang university science, India, 2011
CARL, W.A. The Chaotic Motion of the Double Pendulum, 2012