A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation

Autor: Lee, Seul Bee, Marmi, Stefano, Schindler, Tanja I.
Rok vydání: 2021
Předmět:
Zdroj: Phys. D: Nonlinear Phenom. 435 (2022)
Druh dokumentu: Working Paper
DOI: 10.1016/j.physd.2022.133300
Popis: We give an explicit arithmetical condition which guarantees the existence of the unstable manifold of the MacKay approximate renormalisation scheme for the breakup of invariant tori in one and a half degrees of freedom Hamiltonian systems, correcting earlier results. Furthermore, when our condition is violated, we give an example of points on which the unstable manifold does not converge.
Databáze: arXiv