5 citations · 9 across the 5 of their papers we have counts for
5 papers
A Massera-type Theorem on relative-periodic solutions for a second-order model of rectilinear locomotion
Paolo Gidoni, Alessandro Margheri
We study the existence of a global periodic attractor for the reduced dynamics of a discrete toy model for rectilinear crawling locomotion, corresponding to a limit cycle in the sh…
Limit cycles for dynamic crawling locomotors with periodic prescribed shape
Paolo Gidoni, Alessandro Margheri, Carlota Rebelo
We study the asymptotic behaviour of a family of dynamic models of crawling locomotion, with the aim of characterizing a gait as a limit property. The locomotors, which might have…
Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems
Paolo Gidoni, Alessandro Margheri
In this work we prove the lower bound for the number of -periodic solutions of an asymptotically linear planar Hamiltonian system. Precisely, we show that such a system, -per…
Measuring the mixing efficiency in a simple model of stirring:some analytical results and a quantitative study via Frequency Map Analysis
Timoteo Carletti, Alessandro Margheri
We prove the existence of invariant curves for a --periodic Hamiltonian system which models a fluid stirring in a cylindrical tank, when is small and the assigned stirring p…
Normalization of Poincaré Singularities {\it via} Variation of Constants
T. Carletti, A. Margheri, M. Villarini
We present a geometric proof of the Poincaré-Dulac Normalization Theorem for analytic vector fields with singularities of Poincaré type. Our approach allows us to relate the size o…