Exploració per tema "Classificació AMS::37 Dynamical systems and ergodic theory::37K Infinite-dimensional Hamiltonian systems"
Ara es mostren els items 1-6 de 6
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Affine invariant triangulations
(2019)
Text en actes de congrés
Accés restringit per política de l'editorialWe study affine invariant 2D triangulation methods. That is, methods that produce the same triangulation for a point set S for any (unknown) affine transformation of S. Our work is based on a method by Nielson [A ... -
Hamiltonicity for convex shape Delaunay and Gabriel Graphs
(Springer, 2019)
Text en actes de congrés
Accés restringit per política de l'editorialWe study Hamiltonicity for some of the most general variants of Delaunay and Gabriel graphs. Instead of defining these proximity graphs using circles, we use an arbitrary convex shape C. Let S be a point set in the plane. ... -
Hamiltonicity for convex shape Delaunay and Gabriel graphs
(2019)
Text en actes de congrés
Accés restringit per política de l'editorialWe study Hamiltonicity for some of the most general variants of Delaunay and Gabriel graphs. Let S be a point set in the plane. The k-order Delaunay graph of S, denoted k-DGC(S), has vertex set S and edge pq provided ... -
On Birkhoff's conjecture about convex billiards
(1995)
Article
Accés obertBirkhoff conjectured that the elliptic billiard was the only integrable convex billiard. Here we prove a local version of this conjecture: any non-trivial symmetric entire perturbation of an elliptic billiard is non-integrable. -
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation
(2022-03-03)
Article
Accés obertWe consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori called finite-gap solutions. These are ... -
Transfer of energy in the nonlinear Schrödinger equationon
(Universitat Politècnica de Catalunya, 2011-06)
Projecte Final de Màster Oficial
Accés obertThis work aims to use tools of Dynamical Systems to prove that the nonlinear Schr odinger equation presents a global instability. To do that, we rst reduce this PDE to a system of ODE's of dimension N which we call the ...
