Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-local Lagrangian Mechanics: Noether theorem and Hamiltonian
  formalism   We study Lagrangian systems with a finite number of degrees of freedom that
are non-local in time. We obtain an extension of Noether theorem and Noether
identities to this kind of Lagrangians. A Hamiltonian formalism is then set up
for this systems. $n$-order local Lagrangians can be treated as a particular
case and the standard results for them are recovered. The method is then
applied to several other cases, namely two examples of non-local oscillators
and the p-adic particle.

13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol