Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization of globally coupled nonidentical maps with inhomogeneous
  delayed interactions   We study the synchronization of a coupled map lattice consisting of a
one-dimensional chain of logistic maps. We consider global coupling with a
time-delay that takes into account the finite velocity of propagation of
interactions. We recently showed that clustering occurs for weak coupling,
while for strong coupling the array synchronizes into a global state where each
element sees all other elements in its current, present state [Physica A {\bf
325} (2003) 186, Phys. Rev. E {\bf 67} (2003) 056219]. In this paper we study
the effects of in-homogeneities, both in the individual maps, which are
non-identical maps evolving in period-2 orbits, and in the connection links,
which have non-uniform strengths. We find that the global synchronization
regime occurring for strong coupling is robust to heterogeneities: for strong
enough average coupling the inhomogeneous array still synchronizes in a global
state in which each element sees the other elements in positions close to its
current state. However, the clustering behaviour occurring for small coupling
is sensitive to inhomogeneities and differs from that occurring in the
homogeneous array.

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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con