## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

DCDS

The problem of three bodies with equal masses in $\mathbb{S}^2$ is known to have
Lagrangian homographic orbits. We study the linear stability and also a
"practical'' (or effective) stability of these orbits on the unit sphere.

DCDS

Non-integrability criteria, based on differential Galois theory and requiring
the use of higher order variational equations (VE

_{k}), are applied to prove the non-integrability of the Swinging Atwood's Machine for values of the parameter which can not be decided using first order variational equations (VE_{1}).
DCDS-B

We give sufficient conditions to ensure the existence of symmetrical periodic orbits
for a class of Hamiltonian systems having some singularities. The results are applied
to different subproblems of the gravitational $n$-body problem where singularities
appear due to collisions.

## Year of publication

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