@misc{10481/99451,
year = {2022},
url = {https://hdl.handle.net/10481/99451},
abstract = {We study the dynamics around closed orbits of autonomous Lagrangian systems. When the configuration space is two-dimensional and orientable we show
that every closed orbit minimizing the free-period action functional is orbitally
unstable. This result applies even when the minimizers are degenerate or nonisolated, but a particularly strong form of instability holds in the isolated case.
Under some symmetry assumptions, free-period action minimizers are unstable also in the higher-dimensional case. Applications to geodesics and celestial
mechanics are given.},
keywords = {s: instability, minimizing orbits, symmetries},
title = {Instability of closed orbits obtained by minimization},
doi = {https://doi.org/10.1088/1361-6544/ac8264},
author = {Ureña Alcázar, Antonio Jesús},
}