Sills of chaos in the double pendulum's motion


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

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