17 citations · 47 across the 24 of their papers we have counts for
4 papers · 1 filter
Birkhoff-Kellogg type results in product spaces and their application to differential systems
Alessandro Calamai, Gennaro Infante, Jorge Rodríguez-López
We provide a new version of the well-known Birkhoff-Kellogg invariant-direction Theorem in product spaces. Our results concern operator systems and give the existence of component-…
A new construction for Melnikov chaos in piecewise-smooth planar systems
Alessandro Calamai, Matteo Franca, Michal Pospisil
In this paper we consider a piecewise smooth -dimensional system \[ \dot{\vec{x}}=\vec{g} (\vec{x})+\varepsilon\vec{g}(t,\vec{x},\varepsilon) \] where is a small…
Forced oscillations for generalized -Laplacian equations with Carathéodory perturbations
Alessandro Calamai, Maria Patrizia Pera, Marco Spadini
Using topological methods, we study the structure of the set of forced oscillations of a class of parametric, implicit ordinary differential equations with a generalized -Laplac…
Some contributions on Melnikov chaos for smooth and piecewise-smooth planar systems: "trajectories chaotic in the future"
Alessandro Calamai, Matteo Franca, Michal Pospisil
We consider a -dimensional autonomous system subject to a -periodic perturbation, i.e. We assume…