The Existence of Periodic Solutions for Planar Multi-parameter Autonomous Perturbed Systems
- 10.2991/msam-17.2017.58How to use a DOI?
- differential equation; perturbation; periodic solution; Liapunov second method
This paper studies the existence of periodic solutions of autonomous multi- parameter perturbation system by using Liapunov second method when the critical point of the plane autonomous system is the real center. We obtain a necessary condition and a sufficient condition which extend those in references. An example is provided to illustrate the application of the results.
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Zhimin Luo PY - 2017/03 DA - 2017/03 TI - The Existence of Periodic Solutions for Planar Multi-parameter Autonomous Perturbed Systems BT - Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017) PB - Atlantis Press SP - 260 EP - 262 SN - 1951-6851 UR - https://doi.org/10.2991/msam-17.2017.58 DO - 10.2991/msam-17.2017.58 ID - Luo2017/03 ER -