12 citations · 12 across the 2 of their papers we have counts for
3 papers
math.DS2020
Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies
Guido Gentile, Faenia Vaia
We consider quasi-periodically systems in the presence of dissipation and study the existence of response solutions, i.e. quasi-periodic solutions with the same frequency vector as…
math.DS2017
Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension
Guido Gentile, Alessandro Mazzoccoli, Faenia Vaia
We consider a class of singular ordinary differential equations describing analytic systems of arbitrary finite dimension, subject to a quasi-periodic forcing term and in the prese…
math.DS2016★ 12 cited
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…