Stability of Periodic Orbits by Conley-Zehnder index theory
Dynamical Systems
2022-05-17 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1807.05171,
title = {Stability of Periodic Orbits by Conley-Zehnder index theory},
author = {Yanxia Deng and Daniel Offin},
journal= {arXiv preprint arXiv:1807.05171},
year = {2022}
}
Comments
19 pages, 2 figures