35 citations · 117 across the 27 of their papers we have counts for
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math.CA2017
Energy transfer between modes in a nonlinear beam equation
Ubertino Battisti, Elvise Berchio, Alberto Ferrero +1
We consider the nonlinear nonlocal beam evolution equation introduced by Woinowsky- Krieger. We study the existence and behavior of periodic solutions: these are called nonlinear m…
math.CA2017★ 10 cited
Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation
Carlo Gasparetto, Filippo Gazzola
We consider a class of Hill equations where the periodic coefficient is the squared solution of some Duffing equation plus a constant. We study the stability of the trivial solutio…
math.CA2014★ 4 cited
Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems?
E. Berchio, F. Gazzola, C. Zanini
Motivated by the instability of suspension bridges, we consider a class of second order Hamiltonian systems where one component initially holds almost all the energy of the system.…