69 citations · 174 across the 18 of their papers we have counts for
6 papers · 1 filter
Pontryagin Maximum Principle and Stokes Theorem
Franco Cardin, Andrea Spiro
We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a nec…
Integrability of close encounters in the spatial restricted three-body problem
Franco Cardin, Massimiliano Guzzo
We extend to the spatial case a technique of integration of the close encounters formulated by Tullio Levi-Civita for the planar restricted three-body problem. We consider the Hami…
Approximate Inertial Manifold Approach to Non-Equilibrium Thermodynamics
Franco Cardin, Marco Favretti, Alberto Lovison
In this paper a reaction-diffusion type equation is the starting point for setting up a genuine thermodynamic reduction, i.e. involving a finite number of parameters or collective…
Swim-like motion of bodies immersed in an ideal fluid
Marta Zoppello, Franco Cardin
The connection between swimming and control theory is attracting increasing attention in the recent literature. Starting from an idea of Alberto Bressan [7] we study the system of…
Finite Mechanical Proxies for a Class of Reducible Continuum Systems
Alberto Lovison, Franco Cardin
We present the exact finite reduction of a class of nonlinearly perturbed wave equations, based on the Amann-Conley-Zehnder paradigm. By solving an inverse eigenvalue problem, we e…
Finite reduction and Morse index estimates for mechanical systems
Franco Cardin, Giuseppe De Marco, Alessandro Sfondrini
A simple version of exact finite dimensional reduction for the variational setting of mechanical systems is presented. It is worked out by means of a thorough global version of the…