Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spiral-wave dynamics in excitable media: Insights from dynamic mode
  decomposition   Spiral waves are ubiquitous spatiotemporal patterns that occur in various
excitable systems. In cardiac tissue, the formation of these spiral waves is
associated with life-threatening arrhythmias, and, therefore, it is important
to study the dynamics of these waves. Tracking the trajectory of a spiral-wave
tip can reveal important dynamical features of a spiral wave, such as its
periodicity, and its vulnerability to instabilities. We show how to employ the
data-driven spectral-decomposition method, called dynamic mode decomposition
(DMD), to detect a spiral tip trajectory (TT) in three settings: (1) a
homogeneous medium; (2) a heterogeneous medium; and (3) with external noise. We
demonstrate that the performance of DMD-based TT (DMDTT) is either comparable
to or better than the conventional tip-tracking method called the
isopotential-intersection method (IIM) in the cases (1)-(3): (1) Both IIM and
DMDTT capture TT patterns at small values of the image-sampling interval
$\tau$; however, IIM is more sensitive than DMDTT to the changes in $\tau$. (2)
In a heterogeneous medium, IIM yields TT patterns, but with a background of
scattered noisy points, which is suppresed in DMDTT. (3) DMDTT is more robust
to external noise than IIM. We show, finally, that DMD can be used to
reconstruct, and hence predict, the spatiotemporal evolution of spiral waves in
the models we study.

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con