Preprints
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G. Feltrin and P. Gidoni,
Multiplicity of clines for systems of indefinite differential equations arising from a multilocus population genetics model,
submitted
(2019).
[preprint]
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P. Gidoni and A. Fonda,
Coupling linearity and twist: an extension of the Poincaré–Birkhoff Theorem for Hamiltonian systems,
submitted
(2019).
[preprint]
Research papers
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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, pp. 1783-1826 (2019), doi: 10.3934/cpaa.2019084.
[preprint]
[paper]
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P. Gidoni, A. Margheri,
Lower bound on the number of periodic solutions for asymptotically
linear planar Hamiltonian systems,
Discrete & Continuous Dynamical Systems – A
39, pp. 585-605 (2019), doi: 10.3934/dcds.2019024.
[preprint]
[paper]
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P. Gidoni,
Rate–independent soft crawlers,
Quarterly Journal of Mechanics and Applied Mathematics
71, pp. 369–409 (2018), doi: 10.1093/qjmam/hby010.
[preprint]
[paper]
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P. Gidoni and A. DeSimone,
On the genesis of directional friction through bristle-like mediating elements
crawler,
ESAIM: Control, Optimization and Calculus of Variations
23, pp. 1023-1046 (2017), doi: 10.1051/cocv/2017030.
[preprint]
[paper]
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A. Fonda and P. Gidoni,
An avoiding cones condition for the Poincaré–Birkhoff Theorem,
Journal of Differential equations
262, pp. 1064-1084 (2017), doi: 10.1016/j.jde.2016.10.002.
[preprint]
[paper]
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P. Gidoni and A. DeSimone,
Stasis domains and slip surfaces in the
locomotion of a bio-inspired two-segment
crawler,
Meccanica
52, pp. 587–601 (2017), doi: 10.1007/s11012-016-0408-0.
[preprint]
[paper]
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A. Fonda, M. Garrione and P. Gidoni,
Periodic perturbations of Hamiltonian systems,
Advances in Nonlinear Analysis
5, pp. 367-382 (2016), doi: 10.1515/anona-2015-0122.
[preprint]
[paper]
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A. Fonda and P. Gidoni,
Generalizing the Poincaré–Miranda Theorem: the avoiding cones condition,
Annali di Matematica Pura ed Applicata
195, pp. 1347-1371 (2016), doi: 10.1007/s10231-015-0519-6.
[preprint]
[paper]
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A. DeSimone, P. Gidoni and G. Noselli,
Liquid crystal elastomer strips as soft crawlers,
Journal of the Mechanics and Physics of Solids
84, pp. 254-272 (2015), doi: 10.1016/j.jmps.2015.07.017.
[preprint]
[paper]
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A. Fonda and P. Gidoni,
A permanence theorem for local dynamical systems,
Nonlinear Analysis, Theory, Methods and Applications
121, pp. 73-81 (2015), doi: 10.1016/j.na.2014.10.011.
[preprint]
[paper]
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P. Gidoni, G. Noselli and A. DeSimone,
Crawling on directional surfaces,
International
Journal of Non-Linear Mechanics
61, pp. 65-73 (2014), doi: 10.1016/j.ijnonlinmec.2014.01.012.
[preprint]
[paper]
Other writings
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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]