arXiv:2111.10807 [math.DS]AbstractReferencesReviewsResources
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation
Seul Bee Lee, Stefano Marmi, Tanja I. Schindler
Published 2021-11-21Version 1
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.
Journal: Phys. D: Nonlinear Phenom. 435 (2022)
Categories: math.DS
Keywords: unstable manifold, convergence criterion, mackay approximate renormalisation scheme, freedom hamiltonian systems, half degrees
Tags: journal article
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