38 citations · 53 across the 6 of their papers we have counts for
6 papers
An algebro-geometric classification of spectral types of equilibria
Andrea Giacobbe
We give three algebraic equations which allow a geometric classification of all spectral types of equilibria of a given -dimensional dynamical system, and we analyse them thorou…
A theoretical model for realistic local climates
Gabriele Di Bona, Andrea Giacobbe
We write a nonlinear model that predicts the climate (temperature and humidity) on the surface of a small region on Earth, perform numerical investigations using the model, and com…
Nonlinear stability results for plane Couette and Poiseuille flows
Paolo Falsaperla, Andrea Giacobbe, Giuseppe Mulone
In this article we prove, choosing an appropriately weighted -energy equivalent to the classical energy, that the plane Couette and Poiseuille flows are nonlinearly stable wit…
Quasi-periodicity in relative quasi-periodic tori
Francesco Fassò, Luis C. García-Naranjo, Andrea Giacobbe
At variance from the cases of relative equilibria and relative periodic orbits of dynamical systems with symmetry, the dynamics in relative quasi-periodic tori (namely, subsets of…
Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System
Francesco Fassò, Andrea Giacobbe
Bifibrations, in symplectic geometry called also dual pairs, play a relevant role in the theory of superintegrable Hamiltonian systems. We prove the existence of an analogous bifib…
Convexity of multi-valued momentum map
Andrea Giacobbe
We extend the famous convexity theorem of Atiyah, Guillemin and Sternberg to the case of non-Hamiltonian actions. We show that the image of a generalized momentum map is a bounded…