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Instabilities and homoclinic phenomena in Hamiltonian systems

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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
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
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
DOI: 10.4171/RLM/873