Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase Synchronization with Type-II Intermittency in Chaotic Oscillators   We study the phase synchronization (PS) with type-II intermittency showing
$\pm 2 \pi$ irregular phase jumping behavior before the PS transition occurs in
a system of two coupled hyperchaotic R\"{o}ssler oscillators. The behavior is
understood as a stochastic hopping of an overdamped particle in a potential
which has $2 \pi$-periodic minima. We characterize it as type-II intermittency
with external noise through the return map analysis. In $\epsilon_{t} <
\epsilon < \epsilon_{c}$ (where $\epsilon_{t}$ is the bifurcation point of
type-II intermittency and $\epsilon_{c}$ is the PS transition point in coupling
strength parameter space), the average length of the time interval between two
successive jumps follows $<l> \sim \exp(\mid\epsilon_{t} - \epsilon\mid^{2})$,
which agrees well with the scaling law obtained from the Fokker-Planck
equation.

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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: cond-mat