Stability Analysis of Periodic Solutions of Some Duffing’s Equations

• 作者: E. O. Eze E. U. Agwu U. E. Obasi
• 来源期刊: 应用科学(英文)
• 学科: 数学
• 关键词: STABILITY Analysis Duffing’s EQUATIONS PERIODIC SOLUTIONS MATCAD Cartwright Method
• 年，卷（期）: 2019,（4）
• 页码范围: 198-214
• 页数: 17页
• 分类号: O1

摘要

In this paper, some stability results were reviewed. A suitable and complete Lyapunov function for the hard spring model was constructed using the Cartwright method. This approach was compared with the existing results which confirmed a superior global stability result. Our contribution relies on its application to high damping door constructions. (2010 Mathematics Subject Classification: 34B15, 34C15, 34C25, 34K13.)