Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergence of a periodically rotating one-point cluster in a
  thermodynamic Cucker-Smale ensemble   We study emergent behaviors of thermomechanical Cucker-Smale (TCS) ensemble
confined in a harmonic potential field. In the absence of external force field,
emergent dynamics of TCS particles has been extensively studied recently under
various frameworks formulated in terms of initial configuration, system
parameters and network topologies. Moreover, the TCS model does not exhibit
rotating motions in the absence of an external force field. In this paper, we
show the emergence of periodically rotating one-point cluster for the TCS model
in a harmonic potential field using elementary energy estimates and continuity
argument. We also provide several numerical simulations and compare them with
analytical results.

21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex