Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Giant Amplification of Small Perturbations in Frictional Amorphous Solid   Catastrophic events in Nature can be often triggered by small perturbations,
with "remote triggering" of earthquakes being an important example. Here we
present a mechanism for the giant amplification of small perturbations that is
expected to be generic in systems whose dynamics is not derivable from a
Hamiltonian. We offer a general discussion of the typical instabilities
involved (being oscillatory with an exponential increase of noise) and examine
in detail the normal forms that determine the relevant dynamics. The high
sensitivity to external perturbations is explained for systems with and without
dissipation. Numerical examples are provided using the dynamics of frictional
granular matter. Finally we point out the relationship of the presently
discussed phenomenon to the highly topical issue of "exceptional points" in
quantum models with non-Hermitian Hamiltonians.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an