Experimental Study of Bifurcations in A Parametrically Forced Pendulum

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dc.creatorKim, Sang-Yoon
dc.creatorShin, S. H.
dc.creatorYi, J.
dc.creatorJang, J. W.
dc.date1997-07-23
dc.date.accessioned2026-07-07T09:08:06Z
dc.date.available2026-07-07T09:08:06Z
dc.descriptionAn experimental study of bifurcations associated with stability of stationary points (SP's) in a parametrically forced magnetic pendulum and a comparison of its results with numerical results are presented. The critical values for which the SP's lose or gain their stability are experimentally measured by varying the two parameters $Ω$ (the normalized natural frequency) and $A$ (the normalized driving amplitude). It is observed that, when the amplitude $A$ exceeds a critical value, the normal SP with $θ=0$ ($θ$ is the angle between the permanent magnet and the magnetic field) becomes unstable either by a period-doubling bifurcation or by a symmetry-breaking pitchfork bifurcation, depending on the values of $Ω$. However, in contrast with the normal SP the inverted SP with $θ=π$ is observed to become stable as $A$ is increased above a critical value by a pitchfork bifurcation, but it also destabilizes for a higher critical value of $A$ by a period-doubling bifurcation. All of these experimental results agree well with numerical results obtained using the Floquet theory.
dc.descriptionRevTeX, 7 eps figures included in this revised version
dc.identifierhttps://arxiv.org/abs/chao-dyn/9707017
dc.identifierhttp://arxiv.org/abs/chao-dyn/9707017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150600
dc.subjectChaotic Dynamics
dc.subjectCondensed Matter
dc.titleExperimental Study of Bifurcations in A Parametrically Forced Pendulum
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