Accepted:
16 Dec 2002
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/vol09/chiroi02/ | © Copyright 2002 | |||
| Volume 09 | Received: Accepted: |
20 Dec 2001 16 Dec 2002 |
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Linear equivalence method for the analysis of the double pendulum's motion
Munteanu, L., Badea, T. & Chiroiu, V. |
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| Abstract | |
| In this paper the motion of the double pendulum is studied. By extending the linear equivalence method (LEM) formulated by Toma [1] to the analysis of the nonlinear system of equations that govern the motion of the double pendulum, the solutions are represented as a linear superposition of Coulomb vibrations. A comparison with the numerical solutions obtained with the fourth-order Runge-Kutta scheme is performed. The analytical solutions allow a qualitative and quantitative analysis not only of the quasi-periodic behavior but also of the chaotic behavior of the pendulum. | |
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Multimedia Links (none) Reference Links (none) Citation Reference Munteanu, L., Badea, T. & Chiroiu, V. (2002), Linear equivalence method for the analysis of the double pendulum's motion, Complexity International, Volume 09, Paper ID: chiroi02, URL: http://www.complexity.org.au/vol09/chiroi02/ |
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