3 papers
math.CA2026
Existence of a periodic solution for superquadratic Hamiltonian systems with possible finite-time blow-up
Alberto Cagnetta, Paolo Gidoni
We prove a sufficient condition for the existence of a -periodic solution for the planar system , characterized by the growth to infinity of the rotations made in…
math.DS2024
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…
math.OC2024
Gait controllability of length-changing slender microswimmers
Paolo Gidoni, Marco Morandotti, Marta Zoppello
Controllability results of four models of two-link microscale swimmers that are able to change the length of their links are obtained. The problems are formulated in the framework…