Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A discrete complex Ginzburg-Landau equation for a hydrodynamic active
  lattice   A discrete and periodic complex Ginzburg-Landau equation, coupled to a
discrete mean equation, is systematically derived from a driven and dissipative
oscillator model, close to the onset of a supercritical Hopf bifurcation. The
oscillator model is inspired by recent experiments exploring active vibrations
of quasi-one-dimensional lattices of self-propelled millimetric droplets
bouncing on a vertically vibrating fluid bath. Our systematic derivation
provides a direct link between the constitutive properties of the lattice
system and the coefficients of the resultant amplitude equations, paving the
way to compare the emergent nonlinear dynamics---namely discrete bright and
dark solitons, breathers, and traveling waves---against experiments. Further,
the amplitude equations allow us to rationalize the successive bifurcations
leading to these distinct dynamical states. The framework presented herein is
expected to be applicable to a wider class of oscillators characterized by the
presence of a dynamic coupling potential between particles. More broadly, our
results point to deeper connections between nonlinear oscillators and the
physics of active and driven matter.

27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org