You can create your own bifurcation

• Luiz H. A. Monteiro ^[1]
  1. [1] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 52, Nº. 1, 2021, págs. 124-130
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Textbooks on Dynamical Systems Theory usually present only three types of codimension-one bifurcations occurring in autonomous first-order nonlinear differential equations. These three types are called saddle-node, transcritical, and pitchfork. However, the number of bifurcations is virtually infinite. In this didactic work, the bifurcation diagrams of three other types of codimension-one bifurcations are analytically derived.