INSTABILITIES AND HOMOCLINIC PHENOMENA IN HAMILTONIAN SYSTEMS
Publications
PUBLICATIONS
M. Guardia, Z. Hani, E. Haus, A. Maspero and M. Procesi. A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation. Rendiconti Lincei – Matematica e Applicazioni. 30 (2019), pp 865–880 Published online November 2019 DOI: 10.4171/RLM/873 Download
M. Guardia, V. Kaloshin and J. Zhang. Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem. Archive for Rational Mechanics and Analysis. 233 (2019) Issue 2, pp 799–836. Published online March 2019
DOI: https://doi.org/10.1007/s00205-019-01368-7 Download
O.M.L. Gomide, M. Guardia, T-M. Seara. Critical velocity in kink-defect interaction models: Rigorous results. Journal of Differential Equations (2020).
Published online March 2020
DOI: https://doi.org/10.1016/j.jde.2020.02.030
R. Feola, F. Giuliani, M. Procesi. Reducible KAM Tori for the Degasperis-Procesi equation. Commun. Math. Phys. (2020)377, 1681–1759.
Published online June 2020
DOI: https://doi.org/10.1007/s00220-020-03788-z Download
PREPRINTS
M. Guardia, V. Kaloshin and J. Zhang, Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem, arXiv:1805.00800, preprint May 2018. Download
M. Guardia, Z. Hani, E. Haus, A. Maspero and M. Procesi, Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation, arXiv:1810:03694, preprint October 2018. Download
O. M. L. Gomide, M. Guardia and T. M. Seara, Critical velocity in kink-defect interaction models: rigorous results, arXiv:1811.03699, preprint November 2018. Download
R. Feola, F. Giuliani and M. Procesi, Reducible KAM tori for Degasperis-Procesi equation,arXiv:1812.08498, preprint December 2018. Download
M. Gallone and S. Pasquali, Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction, arXiv:191112648, preprint November 2019. Download
R. Feola and F. Giuliani, Quasi-periodic traveling waves on an infinitely deep fluid under gravity, arXiv:2005.08280, preprint May 2020. Download
F. Giuliani, M. Guardia, P. Martin and S. Pasquali, Chaotic-like transfers of energy in Hamiltonian PDEs, arXiv:2006.09309, preprint June 2020. Download
F. Giuliani, Transfers of energy through fast diffusion channels in some resonant PDEs on the circle, arXiv:2009.04228, preprint September 2020. Download
M. Guardia, J. Paradela, T-M. Seara, C. Vidal, Symbolic Dynamics in the Elliptic Isosceles Restricted Three Body Problem, arXiv:2012.04696, preprint December 2020. Download