Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Attractors in complex networks   In the framework of the generalized Lotka Volterra model, solutions
representing multispecies sequencial competition can be predictable with high
probability. In this paper, we show that it occurs because the corresponding
"heteroclinic channel" forms part of an attractor. We prove that, generically,
in an attracting heteroclinic network involving a finite number of hyperbolic
and non-resonant saddle-equilibria whose linearization has only real
eigenvalues, the connections corresponding to the most positive expanding
eigenvalues form a part of an attractor (observable in numerical simulations).

37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th