Publicações
Publicações com revisão
Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift-Hohenberg equation as an example
(with V. Gelfreich)
Nonlinearity, 24, no.3, p. 677-698, 2011.
Chaos in the square billiard with a modified reflection law
(with G. Del Magno, J. L. Dias, P. Duarte and D. Pinheiro)
Chaos, 22, 026106, 2012.
Analytic invariants for the 1:-1 resonance.
Annales de l'Institut Fourier, vol. 63, no.4, p. 1267-1426, 2013.
SRB measures for polygonal billiards with contracting reflection laws
(with G. Del Magno, J. L. Dias, P. Duarte and D. Pinheiro)
Communications in Mathematical Physics, vol. 329, 2, p. 687-723, 2014.
Ergodicity of polygonal slap maps
(with G. Del Magno, J. L. Dias and P. Duarte)
Nonlinearity, 27, no.8, p. 1969-1983, 2014.
Dissipative outer billiards: a case study
(with G. Del Magno and E. Gutkin)
Dynamical Systems: An International Journal, vol. 30, no.1, p. 45-69, 2015.
Hyperbolic billiards on polytopes with contracting reflection laws
(with P. Duarte and M. Soufi)
Discrete and Continuous Dynamical Systems - Series A, vol. 37, no. 6, p. 3079-3109, 2017.
Hyperbolic polygonal billiards with finitely many ergodic SRB measures
(with G. Del Magno, J. L. Dias, P. Duarte)
Ergodic Theory and Dynamical Systems, vol. 38, issue 6, p. 2062-2085, 2018.
Lλlambda-stability of periodic bililard orbits
(with S. Troubetzkoy)
Nonlinearity, 31, no.9, p. 4326, 2018.
Linearization of Gevrey flows on Td𝕋d with a Brjuno type arithmetical condition
(with J. L. Dias)
Journal of Differential Equations, vol. 267, issue 12, p. 7167-7212, 2019.
Asymptotic periodicity in outer billiards with contraction
Ergodic Theory and Dynamical Systems, vol. 40, issue 2, p. 402-417, 2020.
On the attractor of piecewise expanding maps of the interval
(with G. Del Magno, J. L. Dias, P. Duarte)
Stochastics and Dynamics, vol. 20, No. 02, 2050009, 2020.
Periodic attractor in the discrete time best-response dynamics of the Rock-Paper-Scissors game
(with T. Peixe)
Dynamic Games and Applications, online first, 2020.
Hyperbolic polygonal billiards close to 1-dimensional piecewise expanding maps
(with G. Del Magno, J. L. Dias, P. Duarte)
Journal of Statistical Physics, vol. 182, No. 11, 2021.
Outras Publicações
Practical implementation issues for switching between stabilizing controllers
(with E. Santos, T. Mendonça and P. Rocha).
Proc. of the 7th Portuguese Conference on Automatic Control, M. Ayala-Botto, IST, 6 p., Lisbon, Portugal, September 11-13, 2006.
Observer design in switching control of neuromuscular blockade: clinical cases
(with H. Magalhães, J. Lemos, T. Mendonça, P. Rocha and S. Esteves).
28th Annual International Conference IEEE Engineering in Medicine and Biology Proceedings, p. 5436-5439, 2006.
Exponentially small splitting of separatrices.
Bol. Soc. Port. Mat. Special Issue , p. 181-184, 2012.
Polygonal billiards with a contractive reflection law: a review of some hyperbolic properties
(with
G. Del Magno,
J. L. Dias,
P. Duarte and
D. Pinheiro)
in Difference Equations, Discrete Dynamical Systems and Applications, Eds. L. Alseda i Soler et al., Springer Proceedings in Mathematics and Statistics 180, 2016.
Teses
Exponentially small splitting of invariant manifolds near a Hamiltonian-Hopf bifurcation
PhD thesis, University of Warwick, 2010.