Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Experimental Study of Bifurcations in A Parametrically Forced Pendulum   An 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 $\Omega$ (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 $\theta=0$ ($\theta$ 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 $\Omega$. However, in contrast with the normal SP
the inverted SP with $\theta=\pi$ 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.

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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th