Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On global dynamics of reaction--diffusion systems at resonance   In this paper we use the homotopy invariants methods to study the global
dynamics of the reaction-diffusion systems that are at resonance at infinity.
Considering degrees of the resonance for the nonlinear perturbation we
establish Landesman-Lazer type conditions and use them to express the
Rybakowski-Conley index of the invariant set consisting of all bounded
solutions. Obtained results are applied to study the existence of solutions
connecting stationary points for the system of nonlinear heat equations.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex