Publications and preprints
Submitted
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Self-Similar Singular Solutions to the Nonlinear Schrodinger and the Complex Ginzburg-Landau Equations,
Dahne, Joel; Figueras, Jordi-Lluís
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A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems,
Caracciolo, Chiara; Figueras, Jordi-Lluís; Haro, Alex
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Sun-Jupiter-Saturn System may exist: A verified computation of quasiperiodic solutions for the planar three body problem,
Figueras, Jordi-Lluís; Haro, Alex
Accepted
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The Number of Relative Equilibria in the PCR4BP,
Figueras, Jordi-Lluís; Tucker, Warwick; Zgliczynski, Piotr,
J. Dynam. Differential Equations 36 (2024), no.3, 2827-2877.
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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.
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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.
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Effective bounds for the measure of rotations,
Figueras, Jordi-Lluís; Haro, Alex; Luque, Alejandro,
Nonlinearity 33 (2020), no. 2, 700-741.
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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.
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On the sharpness of the Russmann estimates,
Figueras, Jordi-Lluís; Haro, Alex; Luque, Alejandro,
Commun. Nonlinear Sci. Numer. Simul. 55 (2018), 42-55.
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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.
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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.
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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.
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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.
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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
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Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps,
Figueras, Jordi-Lluís; Haro, Àlex,
Chaos 25 (2015), no. 12, 123119, 16 pp.
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Triple collisions of invariant bundles,
Figueras, Jordi-Lluís; Haro, Àlex,
Discrete Contin. Dyn. Syst. Ser. B 18 (2013), no. 8, 2069-2082.
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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.
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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.
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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.