PT EN

Bifurcation Theory

Program

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

Events

  • Representations of fundamental groups of surfaces
    Peter Gothen (CMUP)
    15:30, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • On the existence of solutions for inextensible string equations
    Ayk Telciyan (student)
    12:30, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • Boolean representable simplicial complexes
    Maria Inês Couto (student)
    12:00, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • Campanato spaces and applications in partial differential equations
    David Jesus (student)
    11:30, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • A mathematical model for a plant circadian oscillator
    Adérito Araújo (CMUC)
    14:00, Room 2.5, UC Math. Dept.
    (Seminar)
    November 28, 2018
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Defended Theses

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