Stability of Periodic Orbits by Conley-Zehnder index theory
arXiv:1807.05171 · doi:10.1016/j.jde.2022.01.020
Abstract
We give a necessary and sufficient condition for strong stability of low dimensional Hamiltonian systems, in terms of the iterates of a closed orbit and the Conley-Zehnder index. Applications to Mathieu equation and stable harmonic oscillations for forced pendulum type equations are considered as applications of the main result.
arXiv comment19 pages, 2 figures