Hyperbolic Dynamics


- Dynamical Systems: Vector fields; Differential equations; Local flow; Discretisation; Difference equations; Suspension.
- Invariant sets; Limit sets; Transitivity; Structural stability.
- Local behaviour: Local stability; Invariant manifolds; Homoclinic Points.
- Global dynamics: global invariant manifolds.
- Examples (some of these): Linear dynamics; Symbolic dynamics; Smale Horseshoe; Axiom A; Anosov diffeomorphisms; Kupka-Smale diffeomorphisms; Morse-Smale difeomorphisms.

Research and Events


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Defended Theses

  • Statistical instability in chaotic dynamics
      Muhammad Ali Khan (March 2018)
      José Ferreira Alves
  • Profinite topologies on the free group
      Khadijeh Alibabaei (March 2018)
      Jorge Almeida
  •   Rui Manuel Tavares Pinto de Sá Pereira (January 2018)
      Evelina Shamarova
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