55 citations · 189 across the 20 of their papers we have counts for
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math.DS2006★ 33 cited
Quasi-periodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems
Guido Gentile, Michele V. Bartuccelli, Jonathan H. B. Deane
We consider a class of ordinary differential equations describing one-dimensional analytic systems with a quasi-periodic forcing term and in the presence of damping. In the limit o…
math.DS2006★ 16 cited
Bifurcation curves of subharmonic solutions
Guido Gentile, Michele V. Bartuccelli, Jonathan H. B. Deane
We revisit a problem considered by Chow and Hale on the existence of subharmonic solutions for perturbed systems. In the analytic setting, under more general (weaker) conditions, w…