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Two explorations in dynamical systems and mechanics: avoiding cones conditions and higher dimensional twist - directional friction in bio-inspired locomotion

Candidate: 
Paolo Gidoni
Supervisor: 
Alessandro Fonda
Antonio De Simone
Academic Year: 
2015-2016
Research Group: 
Mathematical Analysis, Modelling, and Applications
Present Position: 
Postdoc
Centro de Matemática, Universidade de Lisboa
File: 
PDF icon Thesis_Gidoni.pdf
Publication Related to the Thesis: 
  • A. DeSimone, P. Gidoni, and G. Noselli. “Liquid crystal elastomer strips as soft crawlers”. Journal of the Mechanics and Physics of Solids 84 (2015), pp. 254–272.
  • A. Fonda and P. Gidoni. “A permanence theorem for local dynamical systems”. Nonlinear Analysis. Theory, Methods and Applications 121 (2015), pp. 73–81.
  • A. Fonda and P. Gidoni. “An avoiding cones condition for thePoincaré-Birkhoff Theorem”. Submitted (2016).
  • A. Fonda and P. Gidoni. “Generalizing the Poincaré–Miranda theorem: the avoiding cones condition”. Annali di Matematica ura ed Applicata. Series IV 195.4 (2016), pp. 1347–1371.
  • A. Fonda, M. Garrione, and P. Gidoni. “Periodic perturbations of Hamiltonian systems”. Advances in Nonlinear Analysis to appear (2016).
  • P. Gidoni and A. DeSimone. “On the genesis of directional friction through bristle-like mediating elements”. arXiv preprint (2016).
  • P. Gidoni and A. DeSimone. “Stasis domains and slip surfaces in the locomotion of a bio-inspired two-segment crawler”. Meccanica (2016), to appear.
  • P. Gidoni, G. Noselli, and A. DeSimone. “Crawling on directional surfaces”. International Journal of Non-Linear Mechanics 61 (2014), pp. 65–73.

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