Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global existence of a heavy ball model with a varying nonnegative
  friction   In this paper, we study a dissipative dynamical system non linear of second
order $ \ddot{x}(t)+\lambda(t)\, \dot{x}(t)+\nabla \Phi (x(t))=0,$ with the
non-negative friction coefficient $\lambda \in \mathcal{C}([0,+\infty[)$ and
the internal constraint $\Phi \in \mathcal{C}^2$.

14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess