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Analysis of simple pendulum with uncertain differential equation

Author

Listed:
  • Xie, Jinsheng
  • Lio, Waichon
  • Kang, Rui

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.

Suggested Citation

  • Xie, Jinsheng & Lio, Waichon & Kang, Rui, 2024. "Analysis of simple pendulum with uncertain differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s0960077924006970
    DOI: 10.1016/j.chaos.2024.115145
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