2 papers
math.DS2025
Constructive QP-Time-dependent KAM Algorithm for Lagrangian Tori
Renato Calleja, Alex Haro, Pedro Porras
In this paper, we present an algorithm to computea fiberwise Lagrangian torus in quasi-periodic (QP) Hamiltonian systems, whose convergence is proved in the [CHP25]. We exhibit the…
math.DS2025
Constructive Approaches to QP-Time-Dependent KAM Theory for Lagrangian Tori in Hamiltonian Systems
Renato Calleja, Alex Haro, Pedro Porras
In this paper, we prove a KAM theorem in a-posteriori format, using the parameterization method to look invariant tori in non-autonomous Hamiltonian systems with degrees of fre…