82 citations · 725 across the 56 of their papers we have counts for
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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…
Response solutions for forced systems with large dissipation and arbitrary frequency vectors
Guido Gentile, Faenia Vaia
We study the behaviour of one-dimensional strongly dissipative systems subject to a quasi-periodic force. In particular we are interested in the existence of response solutions, th…