Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stationary patterns in star networks of bistable units: Theory and
  application to chemical reactions   We present theoretical and experimental studies on pattern formation with
bistable dynamical units coupled in a star network configuration. By applying a
localized perturbation to the central or the peripheral elements, we
demonstrate the subsequent spreading, pinning, or retraction of the
activations; such analysis enables the characterization of the formation of
stationary patterns of localized activity. The results are interpreted with a
theoretical analysis of a simplified bistable reaction-diffusion model. Weak
coupling results in trivial pinned states where the activation cannot
propagate. At strong coupling, uniform state is expected with active or
inactive elements at small or large degree networks respectively. Nontrivial
stationary spatial pattern, corresponding to an activation pinning, is
predicted to occur at intermediate number of peripheral elements and at
intermediate coupling strengths, where the central activation of the network is
pinned, but the peripheral activation propagates toward the center. The results
are confirmed in experiments with star networks of bistable electrochemical
reactions. The experiments confirm the existence of the stationary spatial
patterns and the dependence of coupling strength on the number of peripheral
elements for transitions between pinned and retreating or spreading fronts in
forced network configurations (where the central or periphery elements are
forced to maintain their states).

13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph