Arturo Vieiro

Lecturer at UB
Research area: Dynamical Systems

PhD in Mathematics obtained at UB (2009)


I finished PhD at UB in 2009. I am currently a Tenure-Track 1 Lecturer at UB. Previously I was a Non-tenured Teaching Assistant at UB, a postdoctoral researcher I-Math Future at UPC and a postdoctoral researcher at UB.

My research aims to develop global quantitative methods to understand phase space phenomena of dynamical systems.

Research lines

  • Dynamical systems
  • Hamiltonian dynamics and perturbations
  • Splitting of separatrices and chaos
  • Strange attractors
  • Numerical methods.

Selected publications

  • N.Míguel-Baños, C.Simó and A.Vieiro. Effect of Islands in Diffusive Properties of the Standard Map for Large Parameter Values. Foundations of Computational Mathematics, 2014.
  • S.Gonchenko, C.Simó and A.Vieiro. Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight. Nonlinearity 26(3): 621–679, 2013.
  • V.Gelfreich, C.Simó and A.Vieiro. Dynamics of 4D symplectic maps near a double resonance. Physica D, 243(1): 92–110, 2013.
  • C.Simó and A.Vieiro. Dynamics in chaotic zones of area preserving maps: close to separatrix and global instability zones. Physica D, 240(8): 732–753, 2011.
  • C.Simó and A.Vieiro. Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps. Nonlinearity 22(5):1191–1246, 2009.