@article{Wang2023, 
author = {Shuang Wang and Chunlian Liu},
title = {Multiplicity of periodic solutions for weakly coupled parametrized systems with singularities},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {6},
pages = {3594-3608},
keywords = {periodic solutions, weakly coupled systems, systems with singularities, Poincaré-Birkhoff theorem},
url = {https://www.sciopen.com/article/10.3934/era.2023182},
doi = {10.3934/era.2023182},
abstract = {We prove the existence of multiple periodic solutions for weakly coupled parametrized systems with a singularity of repulsive type at the origin and linear growth at infinity. The proof is based on a higher dimensional Poincaré-Birkhoff theorem and the phase-plane analysis of the solutions.}
}