Global Phase Portrait of a Rolling Motion of Ships Equation

This paper studies the global dynamics of the rolling motion of ships in random beam seas model described by the equation (Formula presented.) where 0 < μ ≪1, 0 < δ < 1, ω = 1 and 0 < a < 3. We fully explain its dynamics in the Poincaré compactification of R2.

Detalles Bibliográficos
Autores: Álvarez Ramírez, Martha|||0000-0001-9187-1757, Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:312567
Acceso en línea:https://ddd.uab.cat/record/312567
https://dx.doi.org/urn:doi:10.1007/s12346-025-01228-8
Access Level:acceso abierto
Palabra clave:Poincaré compactification
Equilibrium points
Topological phase portraits
Descripción
Sumario:This paper studies the global dynamics of the rolling motion of ships in random beam seas model described by the equation (Formula presented.) where 0 < μ ≪1, 0 < δ < 1, ω = 1 and 0 < a < 3. We fully explain its dynamics in the Poincaré compactification of R2.