Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heteroclinic units acting as pacemakers: Entrained dynamics for
  cognitive processes   Heteroclinic dynamics is a suitable framework for describing transient and
reproducible dynamics such as cognitive processes in the brain. We demonstrate
how heteroclinic units can act as pacemakers to entrain larger sets of units
from a resting state to hierarchical heteroclinic motion as is observed in
brain dynamics. An example is fast oscillations modulated by slow oscillations.
The entrainment range depends on the type of coupling, the spatial location of
the pacemaker and the individual bifurcation parameters of the pacemaker and
the driven units. Noise as well as a small back-coupling to the pacemaker
facilitate synchronization. Units can be synchronously entrained to different
temporal patterns, depending on the selected path in the hierarchical
heteroclinic network. Such patterns are believed to code information in brain
dynamics. Depending on the number and location of pacemakers on two-dimensional
grids, synchronization can be maintained in the presence of a large number of
resting state units and mediated via target waves when the pacemakers are
concentrated to a small area of such grids. In view of brain dynamics, our
results indicate a possibly ample repertoire for coding information in temporal
patterns, produced by sets of synchronized units entrained by pacemakers,
without finetuning of the parameters, and distributed in space.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th