Paolo Gidoni: publications

Preprints

P. Gidoni, A. Margheri and C. Rebelo, Limit cycles for dynamic crawling locomotors with periodic prescribed shape, submitted (2022). [preprint]
P. Gidoni, A topological degree theory for rotating solutions of planar systems, submitted (2021). [preprint]
P. Gidoni, Existence of a periodic solution for superlinear second order ODEs, submitted (2021). [preprint]

Research papers

G. Colombo, P. Gidoni and E. Vilches, Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction, Discrete & Continuous Dynamical Systems – A, 42, 737–757 (2022), doi: 10.3934/dcds.2021135. [preprint] [paper]
P. Gidoni and F. Riva, A vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers, Calculus of Variations and Partial Differential Equations, 60, art. 191 (2021), doi: 10.1007/s00526-021-02067-6. [preprint] [paper]
G. Colombo and P. Gidoni, On the optimal control of rate-independent soft crawlers, Journal de Mathématiques Pures et Appliquées 146, 127–157 (2021), doi: 10.1016/j.matpur.2020.11.005. [preprint] [paper]
A. Fonda and P. Gidoni, Coupling linearity and twist: an extension of the Poincaré–Birkhoff Theorem for Hamiltonian systems, Nonlinear Differential Equations and Applications NoDEA 27, art. 55 (2020), doi: 10.1007/s00030-020-00653-9. [preprint] [paper]
G. Feltrin and P. Gidoni, Multiplicity of clines for systems of indefinite differential equations arising from a multilocus population genetics model, Nonlinear Analysis: Real World Applications 54, 103108 (2020), doi: 10.1016/j.nonrwa.2020.103108. [preprint] [paper]
P. Gidoni, G.B. Maggiani and R. Scala, Existence and regularity of solutions for an evolution model of perfectly plastic plates, Communications on Pure and Applied Analysis 18, 1783–1826 (2019), doi: 10.3934/cpaa.2019084. [preprint] [paper]
P. Gidoni, A. Margheri, Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems, Discrete & Continuous Dynamical Systems – A 39, 585–605 (2019), doi: 10.3934/dcds.2019024. [preprint] [paper]
P. Gidoni, Rate–independent soft crawlers, Quarterly Journal of Mechanics and Applied Mathematics 71, 369–409 (2018), doi: 10.1093/qjmam/hby010. [preprint] [paper]
P. Gidoni and A. DeSimone, On the genesis of directional friction through bristle-like mediating elements, ESAIM: Control, Optimization and Calculus of Variations 23, 1023–1046 (2017), doi: 10.1051/cocv/2017030. [preprint] [paper]
A. Fonda and P. Gidoni, An avoiding cones condition for the Poincaré–Birkhoff Theorem, Journal of Differential equations 262, 1064–1084 (2017), doi: 10.1016/j.jde.2016.10.002. [preprint] [paper]
P. Gidoni and A. DeSimone, Stasis domains and slip surfaces in the locomotion of a bio-inspired two-segment crawler, Meccanica 52, 587–601 (2017), doi: 10.1007/s11012-016-0408-0. [preprint] [paper]
A. Fonda, M. Garrione and P. Gidoni, Periodic perturbations of Hamiltonian systems, Advances in Nonlinear Analysis 5, 367–382 (2016), doi: 10.1515/anona-2015-0122. [preprint] [paper]
A. Fonda and P. Gidoni, Generalizing the Poincaré–Miranda Theorem: the avoiding cones condition, Annali di Matematica Pura ed Applicata 195, 1347–1371 (2016), doi: 10.1007/s10231-015-0519-6. [preprint] [paper]
A. DeSimone, P. Gidoni and G. Noselli, Liquid crystal elastomer strips as soft crawlers, Journal of the Mechanics and Physics of Solids 84, 254–272 (2015), doi: 10.1016/j.jmps.2015.07.017. [preprint] [paper]
A. Fonda and P. Gidoni, A permanence theorem for local dynamical systems, Nonlinear Analysis, Theory, Methods and Applications 121, 73–81 (2015), doi: 10.1016/j.na.2014.10.011. [preprint] [paper]
P. Gidoni, G. Noselli and A. DeSimone, Crawling on directional surfaces, International Journal of Non-Linear Mechanics 61, 65–73 (2014), doi: 10.1016/j.ijnonlinmec.2014.01.012. [preprint] [paper]

Other writings

P. Gidoni, Two explorations in Dynamical Systems and Mechanics. Avoiding cones conditions and higher dimensional twist – Directional friction in bio-inspired locomotion, PhD dissertation. [pdf]

Paolo Gidoni's website

Publications

Preprints

Research papers

Other writings