Periodic behavior of a class of nonlinear dynamic systems based on the Runge-Kutta algorithm

Issue title: Special issue: Fuzzy Systems in Distributed Sensing Applications

Guest editors: Mohamed Elhoseny and X. Yuan

Article type: Research Article

Authors: Luo, Hongying^{a; *} | Liu, Jun^b | Li, Xuebin^b

Affiliations: [a] College of Mathematics and Statistics, Qujing Normal University, Qujing, Yunnan, China | [b] Institute of Applied Mathematics, Qujing Normal University, Qujing, Yunnan, China

Correspondence: [*] Corresponding author. Hongying Luo, College of Mathematics and Statistics, Qujing Normal University, Sanjiang Road, Qilin District, Qujing, Yunnan, China. E-mail: luohongy1982@163.com.

Abstract: In this paper, the periodic state of a class of nonlinear hydrodynamic models is studied. This study is applicable to many fields, such as engineering, cybernetics and so on. We use the Runge Kutta algorithm. First, we give a four order nonlinear hydrodynamic model based on the Runge Kutta algorithm. Then, we study the periodic dynamic characteristics of the nonlinear model and establish some new sufficient conditions. The results of our study promote and improve the existing results. And the numerical results are also verified by the numerical experiments. Therefore, the study of this paper has a great help to master the periodic motion of the fluid.

Keywords: Runge-Kutta algorithm, nonlinear dynamic system, periodic solution, Liapunov function method

DOI: 10.3233/JIFS-179510

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 2, pp. 1471-1476, 2020