Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization of forced quasi-periodic coupled oscillators   The problem of synchronization of coupled self-oscillators by external force
is studied. The charts of Lyapunov's exponents in the "frequency - amplitude"
parameter plane are obtained within the framework of the phase approximation.
We identified the characteristic configurations of the domains of complete
synchronization, two- and three-frequency quasi-periodic oscillations and
different variants of partial synchronization of oscillators by an external
force. The differences between regimes of mode locking and beats of partial
oscillators are revealed and discussed. To visualize and analyze the domains of
resonant two-frequency tori we construct the charts, in which regions of
dynamics with different winding numbers are represented by colors.

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The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: physics