Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics and topology of non-Hermitian elastic lattices with non-local
  feedback control interactions   We investigate non-Hermitian elastic lattices characterized by non-local
feedback control interactions. In one-dimensional lattices, we show that the
proportional control interactions produce complex dispersion relations
characterized by gain and loss in opposite propagation directions. Depending on
the non-local nature of the control interactions, the resulting non-reciprocity
occurs in multiple frequency bands characterized by opposite non-reciprocal
behavior. The dispersion topology is also investigated with focus on winding
numbers and non-Hermitian skin effect, which manifests itself through bulk
modes localized at the boundaries of finite lattices. In two-dimensional
lattices, non-reciprocity is associated with directional dependent wave
amplification. Moreover, the non-Hermitian skin effect manifests as modes
localized at the boundaries of finite lattice strips, whose combined effect in
two directions leads to the presence of bulk modes localized at the corners of
finite two-dimensional lattices. Our results describe fundamental properties of
non-Hermitian elastic lattices, and open new possibilities for the design of
metamaterials with novel functionalities related to selective wave filtering,
amplification and localization. The results also suggest that feedback
interactions may be a useful strategy to investigate topological phases of
non-Hermitian systems.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th