Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrical structures of higher-order dynamical systems and field
  theories   In this Thesis we develop the geometric formulations for higher-order
autonomous and non-autonomous dynamical systems, and second-order field
theories. In all cases, the physical information of the system is given in
terms of a Lagrangian function/density, or a Hamiltonian that admits Lagrangian
counterpart. These geometric frameworks are used to study several relevant
physical examples and applications, such as the Hamilton-Jacobi theory for
higher-order mechanical systems, relativistic spin particles and deformation
problems in mechanics, and the Korteweg-de Vries equation and other systems in
field theory.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th