68 citations · 90 across the 9 of their papers we have counts for
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math.DS2014
Morse Theory for geodesics in singular conformal metrics
R. Giambò, F. Giannoni, P. Piccione
Motivated by the use of degenerate Jacobi metrics for the study of brake orbits and homoclinics, we develop a Morse theory for geodesics in conformal metrics having conformal facto…
math.DS2014★ 12 cited
Examples with minimal number of brake orbits and homoclinics in annular potential regions
R. Giambò, F. Giannoni, P. Piccione
We use a geometric construction to exhibit examples of autonomous Lagrangian systems admitting exactly two homoclinics emanating from a nondegenerate maximum of the potential energ…