Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of anticipatory, complete and lag synchronizations in
  time-delay systems   Existence of different kinds of synchronizations, namely anticipatory,
complete and lag type synchronizations (both exact and approximate), are shown
to be possible in time-delay coupled piecewise linear systems. We deduce
stability condition for synchronization of such unidirectionally coupled
systems following Krasovskii-Lyapunov theory. Transition from anticipatory to
lag synchronization via complete synchronization as a function of coupling
delay is discussed. The existence of exact synchronization is preceded by a
region of approximate synchronization from desynchronized state as a function
of a system parameter, whose value determines the stability condition for
synchronization. The results are corroborated by the nature of similarity
functions. A new type of oscillating synchronization that oscillates between
anticipatory, complete and lag synchronization, is identified as a consequence
of delay time modulation with suitable stability condition.

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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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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: econ
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph