Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS
  spacetimes   Weakly nonlinear dynamics in anti-de Sitter (AdS) spacetimes is reviewed,
keeping an eye on the AdS instability conjecture and focusing on the resonant
approximation that accurately captures in a simplified form the long-term
evolution of small initial data. Topics covered include turbulent and regular
motion, dynamical recurrences analogous to the Fermi-Pasta-Ulam phenomena in
oscillator chains, and relations between AdS dynamics and nonrelativistic
nonlinear Schrodinger equations in harmonic potentials. Special mention is
given to the way the classical dynamics of weakly nonlinear strongly resonant
systems is illuminated by perturbative considerations within the corresponding
quantum theories, in particular, in relation to quantum chaos theory.

9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci