3 papers
math.DS2012
Classification of symmetric periodic trajectories in ellipsoidal billiards
Pablo S. Casas, Rafael Ramírez-Ros
We classify nonsingular symmetric periodic trajectories (SPTs) of billiards inside ellipsoids of R^{n+1} without any symmetry of revolution. SPTs are defined as periodic trajectori…
math.DS2011
Hopf bifurcations to quasi-periodic solutions for the two-dimensional plane Poiseuille flow
Pablo S. Casas, Angel Jorba
This paper studies various Hopf bifurcations in the two-dimensional plane Poiseuille problem. For several values of the wavenumber , we obtain the branch of periodic flows which…
math.DS2010
The frequency map for billiards inside ellipsoids
Pablo S. Casas, Rafael Ramirez-Ros
The billiard motion inside an ellipsoid $Q \subset \Rset^{n+1}$ is completely integrable. Its phase space is a symplectic manifold of dimension , which is mostly foliated with…