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math.DS2021
A topological degree theory for rotating solutions of planar systems
Paolo Gidoni
We present a generalized notion of degree for rotating solutions of planar systems. We prove a formula for the relation of such degree with the classical use of Brouwer's degree an…
math.CA2021★ 7 cited
Existence of a periodic solution for superlinear second order ODEs
Paolo Gidoni
We prove a necessary and sufficient condition for the existence of a -periodic solution for the time-periodic second order differential equation $\ddot{x}+f(t,x)+p(t,x,\dot x)=0…
math.DS2021
Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction
Giovanni Colombo, Paolo Gidoni, Emilio Vilches
We study the asymptotic stability of periodic solutions for sweeping processes defined by a polyhedron with translationally moving faces. Previous results are improved by obtaining…