Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discovering dynamical features of Hodgkin-Huxley-type model of
  physiological neuron using artificial neural network   We consider Hodgkin-Huxley-type model that is a stiff ODE system with two
fast and one slow variables. For the parameter ranges under consideration the
original version of the model has unstable fixed point and the oscillating
attractor that demonstrates bifurcation from bursting to spiking dynamics. Also
a modified version is considered where the bistability occurs such that an area
in the parameter space appears where the fixed point becomes stable and
coexists with the bursting attractor. For these two systems we create
artificial neural networks that are able to reproduce their dynamics. The
created networks operate as recurrent maps and are trained on trajectory cuts
sampled at random parameter values within a certain range. Although the
networks are trained only on oscillatory trajectory cuts, it also discover the
fixed point of the considered systems. The position and even the eigenvalues
coincide very well with the fixed point of the initial ODEs. For the bistable
model it means that the network being trained only on one brunch of the
solutions recovers another brunch without seeing it during the training. These
results, as we see it, are able to trigger the development of new approaches to
complex dynamics reconstruction and discovering. From the practical point of
view reproducing dynamics with the neural network can be considered as a sort
of alternative method of numerical modeling intended for use with contemporary
parallel hard- and software.

3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an