Preprints
-
P. Gidoni,
A topological degree theory for rotating solutions of planar systems,
submitted 
(2021).
[preprint]
Research papers
-
P. Gidoni, A. Margheri and C. Rebelo,
Limit cycles for dynamic crawling locomotors with periodic prescribed shape,
Zeitschrift für angewandte Mathematik und Physik 
74, art. 46 (2023), doi10.1007/s00033-023-01941-x.
[preprint]
[paper]
-
P. Gidoni,
Existence of a periodic solution for superlinear second order ODEs,
Journal of Differential Equations 
345, 401–417 (2023), doi:10.1016/j.jde.2022.11.054 .
[preprint]
[paper]
-
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]