46 citations · 153 across the 17 of their papers we have counts for
17 papers
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…
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…
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…
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…
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…
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…
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…
A vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation, and an application to soft crawlers
Paolo Gidoni, Filippo Riva
We study the approximation of quasistatic evolutions, formulated as abstract finite-dimensional rate-independent systems, via a vanishing-inertia asymptotic analysis of dynamic evo…
On the optimal control of rate-independent soft crawlers
Giovanni Colombo, Paolo Gidoni
Existence of optimal solutions and necessary optimality conditions for a controlled version of Moreau's sweeping process are derived. The control is a measurable ingredient of the…
Multiplicity of clines for systems of indefinite differential equations arising from a multilocus population genetics model
Guglielmo Feltrin, Paolo Gidoni
We investigate sufficient conditions for the presence of coexistence states for different genotypes in a diploid diallelic population with dominance distributed on a heterogeneous…
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…
Existence and regularity of solutions for an evolution model of perfectly plastic plates
Paolo Gidoni, Giovanni Battista Maggiani, Riccardo Scala
We continue the study of a dynamic evolution model for perfectly plastic plates, recently derived from three-dimensional Prandtl-Reuss plasticity. We extend the previous existence…
Rate-independent soft crawlers
Paolo Gidoni
This paper applies the theory of rate-independent systems to model the locomotion of bio-mimetic soft crawlers. We prove the well-posedness of the approach and illustrate how the v…
Stasis domains and slip surfaces in the locomotion of a bio-inspired two-segment crawler
Paolo Gidoni, Antonio DeSimone
We formulate and solve the locomotion problem for a bio-inspired crawler consisting of two active elastic segments (i.e., capable of changing their rest lengths), resting on three…
On the genesis of directional friction through bristle-like mediating elements
Paolo Gidoni, Antonio DeSimone
We propose an explanation of the genesis of directional dry friction, as emergent property of the oscillations produced in a bristle-like mediating element by the interaction with…
Liquid Crystal Elastomer Strips as Soft Crawlers
Antonio DeSimone, Paolo Gidoni, Giovanni Noselli
In this paper, we speculate on a possible application of Liquid Crystal Elastomers to the field of soft robotics. In particular, we study a concept for limbless locomotion that is…
Crawling on directional surfaces
Paolo Gidoni, Giovanni Noselli, Antonio DeSimone
In this paper we study crawling locomotion based on directional frictional interactions, namely, frictional forces that are sensitive to the sign of the sliding velocity. Surface i…