Phase Portraits of Families VII and VIII of the Quadratic Systems

The quadratic polynomial differential systems in a plane are the easiest nonlinear differential systems. They have been studied intensively due to their nonlinearity and the large number of applications. These systems can be classified into ten classes. Here, we provide all topologically different p...

Descripción completa

Detalles Bibliográficos
Autores: Cairó, Laurent, Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:282731
Acceso en línea:https://ddd.uab.cat/record/282731
https://dx.doi.org/urn:doi:10.3390/axioms12080756
Access Level:acceso abierto
Palabra clave:Quadratic vector fields
Quadratic systems
Phase portraits
Descripción
Sumario:The quadratic polynomial differential systems in a plane are the easiest nonlinear differential systems. They have been studied intensively due to their nonlinearity and the large number of applications. These systems can be classified into ten classes. Here, we provide all topologically different phase portraits in the Poincaré disc of two of these classes.