3 papers
math.AP2025
Bifurcation from the Kurth solution in galactic dynamics
Markus Kunze, Rafael Ortega
It will be shown that there exists an infinite-dimensional continuum of weak static solutions of the Vlasov-Poisson system that bifurcates from the Kurth solution. Each…
math.FA2025
perturbations of a continuum of critical points
Rafael Ortega, Antonio J. Urena
Given a real valued function having a nondegenerate compact manifold of critical points, some of these points survive under small perturbations. This is a well-known result i…
math.DS2024
Invariant measures as obstructions to attractors in dynamical systems and their role in nonholonomic mechanics
L. C. GarcÃa-Naranjo, R. Ortega, A. J. Ureña
We present some rigorous results on the absence of a wide class of invariant measures for dynamical systems possessing attractors. We then consider a generalization of the classica…