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Hyperbolic Dynamics

Program

- 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

Events

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Defended Theses

  • Numerical semigroups: a conjecture of Wilf and related topics
      Neeraj Kumar (July 2025)
      Manuel Delgado
      Claude Marion
  • Dynamics of vector fields with univalued solutions
      Laura Rosales Ortiz (June 2025)
      Helena Reis
      Júlio Rebelo (Université Toulouse III)
  • Regular transitions of physical measures in nonuniformly hyperbolic systems
      Odaudu Reuben Etubi (April 2025)
      José Ferreira Alves
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