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20052025
most citedSummation of divergent series and Borel summability for strongly dissipative equations with periodic or quasi-periodic forcing terms

34 citations · 146 across the 16 of their papers we have counts for

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Showing 2006Show all

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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…