34 citations · 146 across the 16 of their papers we have counts for
17 papers
On an Analytical Criterion for Detecting Intermittent Turbulent Behaviour of Solutions of Partial Differential Equations
Michele V Bartuccelli, Guido Gentile
A main question in the study of partial differential equations is the following: how do we understand the nature of the solutions and, in particular, how do we determine if a given…
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…
Periodic and quasi-periodic attractors for the spin-orbit evolution of Mercury with a realistic tidal torque
Michele Bartuccelli, Jonathan Deane, Guido Gentile
Mercury is entrapped in a 3:2 resonance: it rotates on its axis three times for every two revolutions it makes around the Sun. It is generally accepted that this is due to the larg…
Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the Modified Kuramoto-Sivashinky Equation in one and two space dimensions
Michele V. Bartuccelli, Jonathan H. Deane, Guido Gentile
We consider the Modified Kuramoto-Sivashinky Equation (MKSE) in one and two space dimensions and we obtain explicit and accurate estimates of various Sobolev norms of the solutions…
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…
Stable dynamics in forced systems with sufficiently high/low forcing frequency
M. Bartuccelli, G. Gentile, J. A. Wright
We consider a class of parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is…