2 papers
math.DS2021
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…
math.DS2018
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…