Duffing equations with two-component Poisson stable coefficients
Carpathian Journal of Mathematics, vol.39, no.2, pp.349-357, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 39 Issue: 2
- Publication Date: 2023
- Doi Number: 10.37193/cjm.2023.02.01
- Journal Name: Carpathian Journal of Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Page Numbers: pp.349-357
- Keywords: asymptotic stability, Duffing equation, excitation and solution, numerical simulations of the coefficients, Poisson stable solution, two-component Poisson stable coefficients and excitation
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
The research considers Duffing equations with two-component Poisson stable coefficients and excitation. The existence and uniqueness of the Poisson stable solutions have been proved. A new technique for verification of the stability is developed. Numerical simulations of the coefficients, excitation as well as solution are provided.