Arturo Vieiro Yanes

Arturo Vieiro Yanes

Senior lecturer

ORCID: 0000-0003-2584-2717
Knowledge area: Matemàtica Aplicada

Grup de Sistemes Dinàmics UB

Contact Information
Department of Mathematics and Computer Science
Gran Via, 585
93 403 46 87
vieiro(a)ub.edu

My profile

Homepage: www.maia.ub.es/~vieiro

Academic training

Llicenciatura de Matemàtiques . Universitat de Barcelona . 26/02/2002 . (Diploma / Degree / Activities)
Programa de Doctorat en Matemàtiques . Universitat de Barcelona . 09/2004 . (Ph.D.)
Doctorat en Matemàtiques . Universitat de Barcelona . 21/07/2009 . (Ph.D.)

Imparted Teaching (last 10 years)

Sistemes Dinàmics (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Matemàtica Aplicada i Bioestadística (Bachelor's degree) - Farmacia - Universidad de Barcelona.
Matemàtiques II (Bachelor's degree) - Química - Universidad de Barcelona.
Programació Científica (Bachelor's degree) - Matemáticas - Universidad de Barcelona.

Research interests

Area-preserving maps, resonant normal forms, splitting of separatrices, global dynamics, invariant manifolds, separatrix map
Four dimensional symplectic maps. Double resonances. Arnold diffusion
Global strange attractors, dissipative return maps, homoclinic dynamics
Multidimensional separatrix maps and scattering maps. Arnold diffusion

Participation in Projects

Dinámica, atractores y nolinealidad: caos y estabilidad . 2006 - 2007 . Ref.MTM2006-26626-E . Ministerio de Educación y Ciencia . PI: Jorge Galán
Efficient Usage of Self Validated Integrators for Space Applications (Ariadna ID: 07/5202) . 2007 - 2008 . Ref.20783/07/NL/CB . Agencia Espacial Europea (ESA) . PI: Tamas Vinko
Proyecto Ingenio Mathematica (I-Math) . 2009 - 2010 . Ref.SAIRT-C4-0189 . Ministerio de Ciencia e Innovación (MICINN) . PI: Àngel Jorba
Consolider I-MATH: DocCourse 'Computational Methods in Dynamical Systems and Applications' . 2010 - 2010 . Ref.MIGS-T4-0263 . Ministerio de Ciencia e Innovación (MICINN) . PI: Àngel Jorba
Resonant phenomena in Hamiltonian Systems . 2008 - 2011 . Ref.JP0869734 . Royal Society of Great Britain . PI: Vassili Gelfreich
Grup de Sistemes Dinàmics . 2014 - 2017 . Ref.2014SGR1145 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Angel Jorba Monte
Aspectos teóricos y computacionales de los sistemas dinámicos y sus aplicaciones . 2014 - 2016 . Ref.MTM2013-41168-P . Ministerio de Economia y Competitividad . PI: Ernest Fontich Julia
Grup de Sistemes Dinàmics . 2017 - 2019 . Ref.2017SGR1374 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Angel Jorba Monte
Problemas analíticos y computacionales en sistemas dinamicos y aplicaciones . 2020 - 2022 . Ref.PID2019-104851GB-I00 . Ministerio de Ciencia, Innovación y Universidades . PI: Ernest Fontich Julia; Arturo Vieiro Yanes
MÉTODOS TEÓRICOS Y NUMÉRICOS EN SISTEMAS DINÁMICOS Y APLICACIONES ( MTNSDA) . 2016 - 2019 . Ref.MTM2016-80117-P . Ministerio de Ciencia, Innovación y Universidades . PI: Ernest Fontich

Relevant publications (Journal Publications and Other publications - last 10 years)

Gelfreich, V.; Vieiro, A. (2018). Interpolating vector fields for near indentity maps and averaging. Nonlinearity, 31(9) . Institutional Repository . ISSN: 0951-7715
Gonchenko, M.; Gonchenko, S.V.; Ovyannnikov, I.; Vieiro, A.; (2018). On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps. Chaos, 28(4), p. 043123 . Institutional Repository . ISSN: 1054-1500
Miguel i Baños, Narcís; Simó, Carles; Vieiro Yanes, Arturo (2014). Effect of Islands in Diffusive Properties of the Standard Map for Large Parameter Values. Foundations of Computational Mathematics, 15(1), pp. 89 - 123 . Institutional Repository . ISSN: 1615-3375
Gonchenko, Sergey V.; Simó, Carles; Vieiro Yanes, Arturo (2013). Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight. Nonlinearity, 26(3), pp. 621 - 678 . Institutional Repository . ISSN: 0951-7715
Gelfreich, Vassili; Simó, Carles.; Vieiro Yanes, Arturo (2013). Dynamics of $4 D$ symplectic maps near a double resonance. Physica D, 243(1), pp. 92 - 110 . Institutional Repository . ISSN: 0167-2789
Miguel, N.; Simó, C.; Vieiro, A. (2013). From the Hénon conservative map to the Chirikov standard map for large parameter values. Regular and Chaotic Dynamics, 18(5), pp. 469 - 489 . ISSN: 1560-3547
Sánchez-Taltavull, D; Alarcón, T; Vieiro, A; (2016). Stochastic modelling of the eradication of the HIV-1 infection by stimulation of latently infected cells in patients under highly active anti-retroviral therapy. Journal of Mathematical Biology, 73, pp. 919 - 946 . Institutional Repository . ISSN: 0303-6812
Meiss, J.D.; Míguel-Baños, N.; Simó, C.; Vieiro, A. (2018). Accelerator modes and anomalous diffusion in 3D volume-preserving maps. Nonlinearity, 31(12), pp. 5615 - 5642 . Institutional Repository . ISSN: 0951-7715
Fontich, E.; Simó, C.; Vieiro, A. (2018). On the 'hidden'' harmonics associated to best approximants due to quasi-periodicity in splitting phenomena. Regular and Chaotic Dynamics, 23(6), pp. 638 - 653 . Institutional Repository . ISSN: 1560-3547
Simó, C.; Vieiro, A. (2013). A physical dissipative system with a Poincaré homoclinic figure-eight . In Progress and challenges in dynamical systems . Volume. 54 . (pp. 383 - 394) . Springer . ISBN: 978-3-642-38829-3 .
Fontich, E.; Simó, C.; Vieiro, A. (2015). The discrete Hamiltonian-Hopf bifurcation for 4D symplectic maps . In Extended Abstracts Spring 2014, Hamiltonian Systems and Celestial Mechanics; Virus Dynamics and Evolution (Part I). . Volume. 4 . (pp. 77 - 81) . Springer . ISBN: 978-3-319-22128-1 .

Direction of Thesis, Minor Thesis and Research Reports (last 10 years)

Narcís Miguel Baños . (2016) . Transport phenomena and anomalous diffusion in conservative systems of low dimension (Ph.D. Thesis) . Universitat de Barcelona.

Conferences and Participations in Congresses (last 10 years)

Goncheko, S.; Simó, C.; Vieiro, A. (2013). A global study of 2D dissipative diffeomorphisms with a Poincaré homoclinic figure-eight. (Invited conference) . SIAM conference on Applications of Dynamical Systems . Snowbird (Utah) . UNITED STATES
Fontich, E.; Simó, C.; Vieiro, A. (2014). The transition to complex-saddle in a Froeschlé-type map. (Invited conference) . The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications Madrid, Spain, on July 07-11, 2014 . Madrid . SPAIN
A. Vieiro; E. Fontich; C. Simó (2015). Periodic forcing of a 2-dof Hamiltonian undergoing a Hamiltonian-Hopf bifurcation. (Presentation of communication) . Dynamics, Bifurcations and Chaos 2015 . Nizhny Novgorod . RUSSIAN FEDERATION
C. Simó; E. Fontich; A.Vieiro. (2015). La bifurcación Hamiltonian-Hopf de 2 grados de libertad bajo el efecto de un forzamiento periódico. (Invited conference) . Congreso de jovenes investigadores RSME . Murcia . SPAIN
V. Gelfreich; A. Vieiro (2016). Geometry of double resonances of 4D symplectic maps and diffusive properties. (Presentation of communication) . Warwick Dynamical Systems Workshop . Coventry . UNITED KINGDOM
Fontich, E.; Simó, C.; Vieiro, A; (2016). Periodically perturbed Hamiltonian-Hopf. (Invited conference) . AIMS Conference on Dynamical Systems, Differential Equations and Applications . Orlando (Florida) . UNITED STATES
Fontich, E.; Simó, C.; Vieiro, A.; (2016). Splitting of separatrices at a periodically forced Hamiltonian-Hopf bifurcation. (Invited conference) . Dynamics, Bifurcations and Strange Attractors . Nizhny Novgorod . RUSSIAN FEDERATION
Miguel-Baños, N; Simó, C.; Vieiro, A. (2017). Anomalous diffusion in 2D and 3D volume-preserving map. (Presentation of communication) . SIAM conference on Applications of Dynamical Systems . Snowbird, Utah . UNITED STATES
Vieiro, A. (2017). Double resonances in 4D symplectic maps and diffusive properties. (Invited conference) . XXV Congreso de ecuaciones diferenciales y aplicaciones (Cedya) . Cartagena . SPAIN
Vieiro, Arturo; Tatjer, Joan Carles (2018). The dynamics of the QR flow. (Presentation of communication) . Interdisciplinary Workshop on Multiple Scale Systems, Systems with Hysteresis and Trends in Dynamical Systems, MURPHYS2018 . Barcelona . SPAIN

Other Tasks

Premi extraordinari de doctorat 2009 Matemàtiques
Article de premsa: 'The hammer of God' The Irish Times. agost 2011. E.M. Alessi, A. Farres, A. Jorba, C. Simó, A. Vieiro