Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical States and Bifurcations in Coupled Thermoacoustic Oscillators   The emergence of rich dynamical phenomena in coupled self-sustained
oscillators, primarily synchronization and amplitude death, has attracted
considerable interest in several fields of science and engineering. Here, we
present a comprehensive theoretical study on the manifestation of these
exquisite phenomena in a reduced-order model of two coupled Rijke tube
oscillators, which are prototypical thermoacoustic oscillators. We characterize
the dynamical behaviors of two such identical and non-identical oscillators by
varying both system parameters (such as the uncoupled amplitudes and the
natural frequencies of the oscillators) and coupling parameters (such as
coupling strength and coupling delay). The present model captures all the
dynamical phenomena -- namely synchronization, phase-flip bifurcation,
amplitude death, and partial amplitude death -- observed previously in
experiments on coupled Rijke tubes. By performing numerical simulations and
deriving approximate analytical solutions, we systematically decipher the
conditions and the bifurcations underlying the aforementioned phenomena. The
insights provided by this study can be used to understand the interactions
between multiple cans in gas turbines combustors and develop suitable control
strategies to avert undesirable thermoacoustic oscillations in them.

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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
2
The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph