E-mail vieiro@ub.edu
Position Associate Professor
Vieiro, Arturo

I am currently an associate professor at UB.
My PhD was awarded with the

Some of my papers have been selected as highlight

I co-advised the PhD thesis:
Mı́guel-Baños, N. “Transport phenomena and anomalous diffusion in conservative systems of low dimension”. Universitat de Barcelona, 2016. Co-advised with C. Simó. Dipòsit Digital UB: http://diposit.ub.edu/dspace/handle/2445/107215

My personal webpage is: www.maia.ub.es/~vieiro

Other Research Interests
  • Area-preserving maps, resonant normal forms, splitting of separatrices, global dynamics, invariant manifolds, separatrix maps.
  • Four dimensional symplectic maps. Double resonances. Arnold diffusion.
  • Global strange attractors, dissipative return maps, homoclinic dynamics.



Problemas analíticos y computacionales en sistemas dinamicos y aplicaciones. 2020 - 2022 .
Ref. PID2019-104851GB-I00 . Ministerio de Ciencia, Innovación y Universidades.
IPs: Ernest Fontich Julia; Arturo Vieiro Yanes

2017SGR1374, Grup de Sistemes Dinàmics.
AGAU - Agència de Gestió d’Ajuts Universitaris i de Recerca (AGAUR).
IP: Àngel Jorba, 2017-2019

Selected publications

E. Fontich, C. Simó and A. Vieiro. Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing. Nonlinearity 32(4), 1440--1493, 2019.

J.D. Meiss, N. Míguel-Baños, C. Simó and A. Vieiro. Accelerator modes and anomalous diffusion in 3D volume-preserving maps. Nonlinearity 31(12), 5615--5642, 2018.

V. Gelfreich and A. Vieiro. Interpolating vector fields for near identity maps and averaging. Nonlinearity 31(9), 4263--4289, 2018.

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, vol. 15(1): 89--123, 2015.

V.Gelfreich, C.Simó and A.Vieiro. Dynamics of 4D symplectic maps near a double resonance. Physica D, 243(1): 92--110, 2013.

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.

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.