Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Natural Hamiltonian formulation of composite higher derivative theories   If a higher derivative theory arises from a transformation of variables that
involves time derivatives, a tailor-made Hamiltonian formulation is shown to
exist. The details and advantages of this elegant Hamiltonian formulation,
which differs from the usual Ostrogradsky approach to higher derivative
theories, are elaborated for mechanical systems and illustrated for simple
examples. Both a canonical space and a set of constraints emerge naturally from
the transformation rule for the variables. In other words, the setting for
quantization and the procedure for eliminating instabilities arise naturally.

32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs