Publications

Publications

  1. A modified parameterization method for invariant Lagrangian tori for partially integrable Hamiltonian systems Figueras, Jordi-Lluís; Haro, Alex Phys. D 462 (2024), Paper No. 134127, 21 pp.
  2. Sharp 12-Hölder continuity of the Lyapunov exponent at the bottom of the spectrum for a class of Schrödinger cocycles Figueras, Jordi-Lluís; Ohlson Timoudas, Thomas Discrete Contin. Dyn. Syst. 40 (2020), no. 7, 4519-4531.
  3. Effective bounds for the measure of rotations Figueras, Jordi-Lluís; Haro, Alex; Luque, Alejandro Nonlinearity 33 (2020), no. 2, 700-741.
  4. Existence of non-smooth bifurcations of uniformly hyperbolic invariant manifolds in skew product systems Figueras, Jordi-Lluís; Lilja, Dan Nonlinearity 31 (2018), no. 12, 5573-5588.
  5. On the sharpness of the Rüssmann estimates Figueras, Jordi-Lluís; Haro, Alex; Luque, Alejandro Commun. Nonlinear Sci. Numer. Simul. 55 (2018), 42-55.
  6. Rigorous computer-assisted application of KAM theory: a modern approach Figueras, J.-Ll.; Haro, A.; Luque, A. Found. Comput. Math. 17 (2017), no. 5, 1123-1193.
  7. A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations Figueras, Jordi-Lluís; Gameiro, Marcio; Lessard, Jean-Philippe; de la Llave, Rafael SIAM J. Appl. Dyn. Syst. 16 (2017), no. 2, 1070-1088.
  8. Numerical computations and computer assisted proofs of periodic orbits of the Kuramoto-Sivashinsky equation Figueras, Jordi-Lluís; de la Llave, Rafael SIAM J. Appl. Dyn. Syst. 16 (2017), no. 2, 834-852.
  9. A note on the fractalization of saddle invariant curves in quasiperiodic systems Figueras, Jordi-Lluís; Haro, Àlex Discrete Contin. Dyn. Syst. Ser. S 9 (2016), no. 4, 1095-1107.
  10. The parameterization method for invariant manifolds Haro, Àlex; Canadell, Marta; Figueras, Jordi-Lluís; Luque, Alejandro; Mondelo, Josep-Maria Appl. Math. Sci., 195 Springer, [Cham], 2016, xvi+267 pp. ISBN: 978-3-319-29660-9; 978-3-319-29662-3
  11. Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps Figueras, Jordi-Lluís; Haro, Àlex Chaos 25 (2015), no. 12, 123119, 16 pp.
  12. Triple collisions of invariant bundles Figueras, Jordi-Lluís; Haro, Àlex Discrete Contin. Dyn. Syst. Ser. B 18 (2013), no. 8, 2069-2082.
  13. Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals Figueras, Jordi-Lluís; Tucker, Warwick; Villadelprat, Jordi J. Differential Equations 254 (2013), no. 8, 3647-3663.
  14. Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map Calleja, Renato; Figueras, Jordi-Lluís Chaos 22 (2012), no. 3, 033114, 10 pp.
  15. Reliable computation of robust response tori on the verge of breakdown Figueras, Jordi-Lluís; Haro, Àlex SIAM J. Appl. Dyn. Syst. 11 (2012), no. 2, 597-628.
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