Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)

The Existence of Periodic Solutions for Planar Multi-parameter Autonomous Perturbed Systems

Authors
Zhimin Luo
Corresponding Author
Zhimin Luo
Available Online March 2017.
DOI
https://doi.org/10.2991/msam-17.2017.58How to use a DOI?
Keywords
differential equation; perturbation; periodic solution; Liapunov second method
Abstract
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.
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Proceedings
2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)
Part of series
Advances in Intelligent Systems Research
Publication Date
March 2017
ISBN
978-94-6252-324-1
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-17.2017.58How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

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  - 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  - https://doi.org/10.2991/msam-17.2017.58
ID  - Luo2017/03
ER  -