3 papers
math.DS2021
Pseudo-synchronous solutions for dissipative non-autonomous systems
Michele Bartuccelli, Livia Corsi, Jonathan Deane +1
In the framework of KAM theory, the persistence of invariant tori in quasi-integrable systems is proved by assuming a non-resonance condition on the frequencies, such as the standa…
math.CA2016
Numerics for the spin orbit equation of Makarov with constant eccentricity
Michele V. Bartuccelli, Jonathan H. B. Deane, Guido Gentile
We present an algorithm for the rapid numerical integration of a time-periodic ODE with a small dissipation term that is in the velocity. Such an ODE arises as a model of spi…
math.FA2010
Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus
Michele V. Bartuccelli, Jonathan H. B. Deane, Sergey Zelik
We give a comprehensive study of interpolation inequalities for periodic functions with zero mean, including the existence of and the asymptotic expansions for the extremals, best…