Phase portraits of planar quadratic systems

Although some examples of phase portraits of quadratic systems can already be found in the work of Poincaré, the first paper dealing exclusively with these systems was published by Büchel in 1904. By the end of the 20th century an increasing flow of publications resulted in nearly a thousand papers...

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Detalles Bibliográficos
Autor principal: Reyn, John (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: New York : Springer c2007.
Colección:Mathematics and Its Applications ; 583
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461776906719
Tabla de Contenidos:
  • Critical points in quadratic systems
  • Isoclines, critical points and classes of quadratic systems
  • Analyzing phase portraits of quadratic systems
  • Phase portraits of quadratic systems in the class mf=0
  • Quadratic systems with center points
  • Limit cycles in quadratic systems
  • Phase portraits of quadratic systems in the class mf=1
  • Phase portraits of quadratic systems in the class mf=2
  • Phase portraits of quadratic systems in the class mf=3
  • Phase portraits of quadratic systems in the class mf=4.