Carles Simó

Carles Simó

Carles Simó
PhD in mathematics, from University of Barcelona, 1974
Professor at Universitat de Barcelona

Personal webpage

email: carles@maia.ub.es

Biosketch

Professor Universidad de Zaragoza 1976-77
Universitat Autònoma de Barcelona 1977-78
Universitat de Barcelona 1978-

Member of the Reial Acadèmia de Ciències I Arts de Barcelona
Corresponding member of the Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid
Medalla Narcís Monturiol 1995, Premi Nacional de Recerca 2012

Main scientific achievements: see www.arbolmat.com/carles-simo

Research Interests

See www.arbolmat.com/carles-simo

Selected publications

  • C. Simó, New families of Solutions in N-Body Problems, in Proceedings of the 3rd European Congress of Mathematics, ed. C. Casacuberta, R. M. Miró-Roig, J. Verdera, S. Xambó, Progress in Mathematics series, Vol 201, pp. 101–115, Birkauser, Basel, 2001.
  • P. M. Cincotta, C. M. Giordano, C. Simó, Phase space structure of multidimensional systems by means of the Mean Exponential Growth factor of Nearby Orbits~(MEGNO), Physica D 182 (2003) 151–178.
  • F. Ledrappier, M. Shub, C. Simó, A. Wilkinson, Random versus deterministic exponents in a rich family of diffeomorphisms, J. Stat Phys. 113 (2003) 85–149.
  • H. Broer, J. Puig, C. Simó, Resonance tongues and instability pockets in the quasi–periodic Hill–Schrodinger equation, Communications in Mathematical Physics, {\bf 241} (2003) 467–503.
  • J.J. Morales, J.P. Ramis, C. Simó, Integrability of Hamiltonian Systems and Differential Galois Groups of Higher Variational Equations, Annales Sci. de l’ENS 4e série, 40 (2007) 845–884
  • V. Gelfreich, C. Simó, High-precision computations of divergent asymptotic series and homoclinic phenomena, Discrete and Continuous Dynamical Systems B 10 (2008) 511–536.
  • H. Broer, C. Simó and R. Vitolo, The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: analysis of a resonance bubble, Physica D, 237, (2008) 1773-1799.
  • J. Sánchez, M. Net, C. Simó, Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems, Physica D 239 (2010) 123–133.
  • R. Martínez, C. Simó, Non-integrability of the degenerate cases of the Swinging Atwood’s Machine using higher order variational equations, Discrete and Continuous Dynamical Systems A 29} (2011) 1–24.
  • D. Puigjaner, J. Herrero, C. Simó, F. Giralt, From steady solutions to chaotic flows in a Rayleigh–B\’enard problem at moderate Rayleigh numbers, Physica D 240} (2011) 920–934.
  • N. Miguel, C. Simó and A. Vieiro, On the effect of islands in the diffusive properties of the standard map, for large parameter values, Foundations of Computational Mathematics 15 (2014) 89–123.
  • C. Simó, Measuring the total amount of chaos in some Hamiltonian Systems. Discrete and Continuous Dynamical Systems A 34, (2014) 5135–5164.