Duffing equations with two-component Poisson stable coefficients

Creative Commons License

AKHMET M., Tleubergenova M., Zhamanshin A.

Carpathian Journal of Mathematics, cilt.39, sa.2, ss.349-357, 2023 (SCI-Expanded) identifier identifier

  • 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
  • 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.