Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher derivative discontinuous solutions to linear ordinary
  differential equations: A new route to complexity?   We present a new one parameter family of second derivative discontinuous
solutions to the simplest scale invariant linear ordinary differential
equation. We also point out how the construction could be extended to generate
families of higher derivative discontinuous solutions as well. The
discontinuity can occur only for a subset of even order derivatives, viz.,2nd,
4th, 8th, 16th, ....The solutions are shown to break the discrete parity
(reflection) symmetry of the underlying equation. These results are expected to
gain significance in the contemporary search of a new {\em dynamical principle}
for understanding complex phenomena in Nature.

32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess