Hongying Luo, Jun Liu, and Xuebin Li. Analysis About a Class of Second Order Damping Dynamic Model Based on The Runge-Kutta Algorithm. Dynamic Systems and Applications 29 (2020), No. 2, 270-280

https://doi.org/10.46719/dsa20202925

ABSTRACT.
In this paper, we study the oscillation problem of a class of two order damping dynamic models. This study is applicable to the fields of engineering, space technology, automatic control and other fields. We use the Runge-Kutta algorithm and the Riccati transform method. First, we give a damping dynamic model based on the Runge-Kutta algorithm. Then, we study its dynamic behavior and establish a number of new sufficient conditions for the oscillation. The results of our research are new and these results promote and improve some of the well-known results. Numerical experiments are also given to verify the above results. Because the damping dynamic model has an important position and function in engineering, space technology and automatic control. Therefore, our research is of great help to engineering technology and automatic control.

KEYWORDS. Runge-Kutta algorithm, model, analysis, damping term.
MSC Subject Classification. 37C75.