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Instabilities and homoclinic phenomena in Hamiltonian systems

Publications

Time quasi-periodic traveling gravity water waves in infinite depth

Author(s): Roberto Feola; Filippo Giuliani
Published in: Rendiconti Lincei - Matematica e Applicazioni, Issue 11206330, 2022, ISSN 1120-6330
Publisher: Accademia Nazionale dei Lincei
DOI: 10.4171/rlm/919

Symbolic Dynamics in the Elliptic Isosceles Restricted Three Body Problem

Author(s): Guardia, Marcel; Paradela, Jaime; Seara, Tere-M.; Vidal, Claudio
Published in: Journal of Differential Equations, Issue 2, 2021, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2021.05.017

Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation

Author(s): Baldomá, Inmaculada; Giralt, Mar; Guardia, Marcel
Published in: Advances in Mathematics, Issue 3, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108562

Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs

Author(s): Filippo Giuliani; Marcel Guardia; Pau Martín; Stefano Pasquali
Published in: Rendiconti Lincei – Matematica e Applicazioni., Issue 3, 2021, ISSN 1120-6330
Publisher: Accademia Nazionale dei Lincei
DOI: 10.4171/rlm/931

Quasi-periodic traveling waves on an infinitely deep perfect fluid under gravity

Author(s): Feola, Roberto; Giuliani, Filippo
Published in: Memoirs of the American Mathematical Society, Issue 11, 2021, ISSN 0065-9266
Publisher: American Mathematical Society
DOI: 10.13140/rg.2.2.35018.39368

Asymptotic Density of Collision Orbits in the Restricted Circular Planar 3 Body Problem

Author(s): Marcel Guardia, Vadim Kaloshin, Jianlu Zhang
Published in: Archive for Rational Mechanics and Analysis, Issue 233/2, 2019, Page(s) 799-836, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-019-01368-7

Critical velocity in kink-defect interaction models: Rigorous results

Author(s): Otávio M.L. Gomide, Marcel Guardia, Tere M. Seara
Published in: Journal of Differential Equations, Issue 269/4, 2020, Page(s) 3282-3346, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2020.02.030

A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation

Author(s): Marcel Guardia, Zaher Hani, Emanuele Haus, Alberto Maspero, Michela Procesi
Published in: Rendiconti Lincei - Matematica e Applicazioni, Issue 30/4, 2019, Page(s) 865-880, ISSN 1120-6330
Publisher: Accademia Nazionale dei Lincei
DOI: 10.4171/RLM/873

Reducible KAM Tori for the Degasperis–Procesi Equation

Author(s): Roberto Feola, Filippo Giuliani, Michela Procesi
Published in: Communications in Mathematical Physics, Issue 377/3, 2020, Page(s) 1681-1759, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03788-z

Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem

Author(s): Maciej J. Capiński; Marcel Guardia; Pau Martín; Tere M-Seara; Piotr Zgliczyński
Published in: Journal of Differential Equations, Issue 2, 2022, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2022.02.056

Transfers of energy through fast diffusion channels in some resonant PDEs on the circle

Author(s): Filippo Giuliani
Published in: American Institut of Mathematical Science, Issue 7, 2021, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2021068

Chaotic-Like Transfers of Energy in Hamiltonian PDEs

Author(s): Filippo Giuliani; Marcel Guardia; Pau Martín; Stefano Pasquali
Published in: Communications in Mathematical Physics, Issue 00103616, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.13140/rg.2.2.29599.38560

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