Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of parameter mismatch on the synchronization of strongly coupled
  self sustained oscillators   In this paper we present an experimental setup and an associated mathematical
model to study the synchronization of two self sustained strongly coupled
mechanical oscillators (metronomes). The effects of a small detuning in the
internal parameters, namely damping and frequency, have been studied. Our
experimental system is a pair of spring wound mechanical metronomes, coupled by
placing them on a common base, free to move along a horizontal direction. In
our system the mass of the oscillating pendula form a significant fraction of
the total mass of the system, leading to strong coupling of the oscillators. We
modified the internal mechanism of the spring-wound "clockwork" slightly, such
that the natural frequency and the internal damping could be independently
tuned. Stable synchronized and anti-synchronized states were observed as the
difference in the parameters was varied. We designed a photodiode array based
non-contact, non-magnetic position detection system driven by a microcontroller
to record the instantaneous angular displacement of each oscillator and the
small linear displacement of the base coupling the two. Our results indicate
that such a system can be made to stabilize in both in-phase anti-phase
synchronized state by tuning the parameter mismatch. Results from both
numerical simulations and experimental observations are in qualitative
agreement and are both reported in the present work.

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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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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: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph