Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Escape dynamics in collinear atomic-like three mass point systems   The present paper studies the escape mechanism in collinear three point mass
systems with small-range-repulsive/large-range-attractive pairwise-interaction.
Specifically, we focus on systems with non-negative total energy. We show that
on the zero energy level set, most of the orbits lead to binary escape
configurations and the set of initial conditions leading to escape
configurations where all three separations infinitely increase as $t \to \infty
1$ has zero Lebesgue measure. We also give numerical evidence of the existence
of a periodic orbit for the case when the two outer masses are equal. For
positive energies, we prove that the set of initial conditions leading to
escape configurations where all three separations infinitely increase as $t \to
\infty$ has positive Lebesgue measure. Keywords: linear three point

20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an