Global Phase Portrait of a Rolling Motion of Ships Equation

• Martha Álvarez Ramírez ^[1] ; Jaume Llibre ^[2]
  1. [1] Universidad Autónoma Metropolitana

     Universidad Autónoma Metropolitana

     México

     
  2. [2] Universitat Autònoma de Barcelona

     Universitat Autònoma de Barcelona

     Barcelona, España

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 2, 2025
• Idioma: inglés
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• Resumen

  • This paper studies the global dynamics of the rolling motion of ships in random beam seas model described by the equation x¨ + (2μ + δx2)x˙ + ω2x − 1 a2 x3 = 0, where 0 < μ 1, 0 <δ< 1, ω = 1 and 0 < a < 3. We fully explain its dynamics in the Poincaré compactification of R2.