Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperbolic and non-hyperbolic chaos in a pair of coupled alternately
  excited FitzHugh-Nagumo systems   We investigate a possibility of realization of structurally stable chaotic
dynamics in neural systems. The considered model of interacting neurons
consists of a pair of coupled FitzHugh-Nagumo systems, with the parameters
being periodically modulated in antiphase, so that the neurons undergo
alternate excitation with a successive transmission of the phase of
oscillations from one neuron to another. It is shown that 4D map arising in a
stroboscopic Poincare section of the model flow system possesses a hyperbolic
strange attractor of the Smale-Williams type. The dynamical regime observed in
the system represents a sequence of amplitude bursts, in which the phase
dynamics of oscillatory spikes is described by chaotic mapping of Bernoulli
type. The results are confirmed by numerical calculation of Lyapunov exponents
and their parameter dependencies, as well as by direct computation of the
distributions of angles between stable and unstable tangent subspaces of
chaotic trajectories.

23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math