Duffing equations with two-component Poisson stable coefficients
Carpathian Journal of Mathematics, cilt.39, sa.2, ss.349-357, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.37193/cjm.2023.02.01
- Dergi Adı: Carpathian Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.349-357
- Anahtar Kelimeler: asymptotic stability, Duffing equation, excitation and solution, numerical simulations of the coefficients, Poisson stable solution, two-component Poisson stable coefficients and excitation
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
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.