Bifurcation Theory


Introduction to the study of qualitative changes in differential equations and difference equations with parameters. These changes include, for instance, the creation and destruction of equilibrium states, changes in periodic behaviour of solutions, changes in stability and transition to chaotic behaviour. In particular: fold or saddle-node points, pitchforks, higher codimension singularities of equilibria or fixed points; bifurcation at homoclinic cycles; Hopf bifurcation; period doubling; period doubling cascades.
Special classes of dynamical systems may also be treated, for instance differential equations with symmetry or coupled cell systems.

Research and Events


  • Research Seminar Program (RSP)
    2017/18 second session
    Room 2.5, DMat UC
    March 9, 2018
  • PhD Defense
    Muhammad Ali Khan - Statistical instability in chaotic dynamics
    Room 031, Dep. Mathematics, Univ. Porto
    March 9, 2018
  • PhD Defense
    Anderson Feitoza Leitão Maia - Sharp regularity for the inhomogeneous porous medium equation
    14:30 - Sala dos Capelos, Univ. Coimbra
    March 21, 2018
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Defended Theses

  • Forward-backward stochastic differential equations and applications
      Rui Manuel Tavares Pinto de Sá Pereira (January 2018)
      Evelina Shamarova
      Margarida Brito
  • Pseudomonads and descent
      Fernando Lucatelli Nunes (January 2018)
      Maria Manuel Clementino
  • Descent theory of (T,V)-categories: global-descent and étale-descent
      Pier Giorgio Basile (September 2017)
      Maria Manuel Clementino
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