Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Gidoni, Paolo"'
Autor:
Gidoni, Paolo, Margheri, Alessandro
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 shape and velocity variables. The body of the crawler consists of a chai
Externí odkaz:
http://arxiv.org/abs/2411.00123
Publikováno v:
Math. Mech. Compl. Sys. 12 (2024) 471-505
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 of Geometric Control Theory, within which the notions of fiber, total,
Externí odkaz:
http://arxiv.org/abs/2405.11961
Publikováno v:
Zeitschrift f\"ur angewandte Mathematik und Physik 74, art. 46 (2023)
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 discrete or continuous body, move on a line with a periodic prescrib
Externí odkaz:
http://arxiv.org/abs/2210.06131
Autor:
Gidoni, Paolo
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 and obtain a twist theorem for the existence of periodic solutions, whic
Externí odkaz:
http://arxiv.org/abs/2109.04971
Autor:
Gidoni, Paolo
Publikováno v:
Journal of Differential Equations 345, 401-417 (2023)
We prove a necessary and sufficient condition for the existence of a $T$-periodic solution for the time-periodic second order differential equation $\ddot{x}+f(t,x)+p(t,x,\dot x)=0$, where $f$ grows superlinearly in $x$ uniformly in time, while $p$ i
Externí odkaz:
http://arxiv.org/abs/2108.13722
Publikováno v:
Discrete & Continuous Dynamical Systems A 42 (2022), 737-757
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 stronger $W^{1,2}$ convergence. Then we present an application to a
Externí odkaz:
http://arxiv.org/abs/2103.03338
Autor:
Gidoni, Paolo, Riva, Filippo
Publikováno v:
Calculus of Variations and Partial Differential Equations 60 (2021), art. 191
We study the approximation of quasistatic evolutions, formulated as abstract finite-dimensional rate-independent systems, via a vanishing-inertia asymptotic analysis of dynamic evolutions. We prove the uniform convergence of dynamical solutions to th
Externí odkaz:
http://arxiv.org/abs/2007.09069
Autor:
Colombo, Giovanni, Gidoni, Paolo
Publikováno v:
Journal de Math\'ematiques Pures et Appliqu\'ees 146 (2021), 127-157
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 dynamics and the constraint set is a polyhedron. The novelty consists
Externí odkaz:
http://arxiv.org/abs/2002.08395
Autor:
Feltrin, Guglielmo, Gidoni, Paolo
Publikováno v:
Nonlinear Analysis: Real World Applications 54, 103108 (2020)
We investigate sufficient conditions for the presence of coexistence states for different genotypes in a diploid diallelic population with dominance distributed on a heterogeneous habitat, considering also the interaction between genes at multiple lo
Externí odkaz:
http://arxiv.org/abs/1909.05737
Autor:
Gidoni, Paolo
Publikováno v:
In Journal of Differential Equations 5 February 2023 345:401-417
