12 citations · 15 across the 4 of their papers we have counts for
5 papers
Non-resonant Hopf Links Near a Hamiltonian Equilibrium Point
C. Grotta-Ragazzo, Lei Liu, Pedro A. S. Salomão
This paper is about the existence of periodic orbits near an equilibrium point of a two-degree-of-freedom Hamiltonian system. The equilibrium is supposed to be a nondegenerate mini…
Errata and Addenda to: "Hydrodynamic Vortex on Surfaces" and "The motion of a vortex on a closed surface of constant negative curvature"
Clodoaldo Grotta-Ragazzo
The two papers in the title contain some equations that are not complete. The missing terms, which are of topological origin, were recently unveiled by Bjorn Gustafsson. In this no…
Birkhoff sums as distributions II: Applications to deformations of dynamical systems
Clodoaldo Grotta-Ragazzo, Daniel Smania
Often topological classes of one-dimensional dynamical systems are finite codimension smooth manifolds. We describe a method to prove this sort of statement that we believe can be…
Birkhoff sums as distributions I: Regularity
Clodoaldo Grotta-Ragazzo, Daniel Smania
We study Birkhoff sums as distributions. We obtain regularity results on such distributions for various dynamical systems with hyperbolicity, as hyperbolic linear maps on the torus…
An explicit Lyapunov function for reflection symmetric parabolic partial differential equations on the circle
Bernold Fiedler, Clodoaldo Grotta-Ragazzo, Carlos Rocha
We construct an explicit Lyapunov function for scalar parabolic reaction-advection-diffusion equations under periodic boundary conditions. We assume the nonlinearity is even in the…