Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential asymptotic flocking in the Cucker-Smale model with
  distributed reaction delays   We study a variant of the Cucker-Smale system with distributed reaction
delays. Using backward-forward and stability estimates on the quadratic
velocity fluctuations we derive sufficient conditions for asymptotic flocking
of the solutions. The conditions are formulated in terms of moments of the
delay distribution and they guarantee exponential decay of velocity
fluctuations towards zero for large times. We demonstrate the applicability of
our theory to particular delay distributions - exponential, uniform and linear.
For the exponential distribution, the flocking condition can be resolved
analytically, leading to an explicit formula. For the other two distributions,
the satisfiability of the assumptions is investigated numerically.

30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
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
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio