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Deterministic chaos in the elastic pendulum: a simple laboratory for nonlinear dynamics

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Fernández-Rañada, Antonio (1992) Deterministic chaos in the elastic pendulum: a simple laboratory for nonlinear dynamics. American Journal of Physics, 60 (1). pp. 73-79. ISSN 0002-9505

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Official URL: http://dx.doi.org/10.1119/1.17047


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Abstract

The chaotic motion of the elastic pendulum is studied by means of four indicators, the Poincare section, the maximum Lyapunov exponent, the correlation function, and the power spectrum. It is shown that for very low and very large energies the motion is regular while it is very irregular for intermediate energies. Analytical considerations and graphical representations concerning the applicability of KAM theorem are also presented. This system and the type of description used are very suitable to introduce undergraduate students to nonlinear dynamics.


Item Type:Article
Additional Information:

© 1992 American Association of Physics Teachers. Two of the authors (RC and JJR) acknowledge A. Muñoz and L.A. Fernández for their encouragement, and A. Sánchez for his help in typing this manuscript.

Uncontrolled Keywords:Numerical Experiments, Entropy, Mass.
Subjects:Sciences > Physics > Electricity
Sciences > Physics > Electronics
ID Code:25212
Deposited On:06 May 2014 08:04
Last Modified:10 Dec 2018 14:58

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