Duffing equations with two-component Poisson stable coefficients

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Akhmet M., Tleubergenova M., Zhamanshin A.

Carpathian Journal of Mathematics, vol.39, no.2, pp.349-357, 2023 (SCI-Expanded) identifier identifier

  • 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
  • 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.