Browsing by Author "Gidoni, Paolo"

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    A permanence theorem for local dynamical systems
    (2013-06-11) Fonda, Alessandro; Gidoni, Paolo; Mathematics
    We provide a necessary and sufficient condition for permanence related to a local dynamical system on a suitable topological space. We then present an illustrative application to a Lotka–Volterra predator–prey model with intraspecific competition.
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    A Vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers
    (SISSA, 2020-07-21) Gidoni, Paolo; Riva, Filippo
    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 the quasistatic one, employing the concept of energetic solution. Motivated by applications in soft locomotion, we allow time-dependence of the dissipation potential, and translation invariance of the potential energy.