Analysis of simple pendulum with uncertain differential equation

Jinsheng Xie, Waichon Lio and Rui Kang

Chaos, Solitons & Fractals, 2024, vol. 185, issue C

Abstract: Uncertain differential equation is a type of differential equation involving uncertain processes. This paper analyzes a simple pendulum system with a varying drag coefficient by the tool of uncertain differential equation, and derives the uncertain simple pendulum equation. Afterwards, the numerical method of solving the uncertain simple pendulum equation and its parameter estimation method are given in this paper. Finally, a real-world example is provided to illustrate the uncertain simple pendulum equation.

Keywords: Uncertainty theory; Uncertain differential equation; Parameter estimation; Simple pendulum (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006970

DOI: 10.1016/j.chaos.2024.115145

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