A method of reduction for invariant curves of quasiperiodically forced maps

Fuente: arXiv
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Main Authors: Delshams, Amadeu, Ortega, Rafael
Format: Preprint
Published: 2026
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author Delshams, Amadeu
Ortega, Rafael
author_facet Delshams, Amadeu
Ortega, Rafael
contents The existence of translated curves for quasiperiodically forced maps is established, under very mild regularity hypotheses, for rotation numbers of constant type. Among the translated curves, the invariant curves are characterized as the solutions of a scalar bifurcation equation, from which their existence, stability as well as bifurcation can be easily described.
format Preprint
id arxiv_https___arxiv_org_abs_2603_26912
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A method of reduction for invariant curves of quasiperiodically forced maps
Delshams, Amadeu
Ortega, Rafael
Dynamical Systems
The existence of translated curves for quasiperiodically forced maps is established, under very mild regularity hypotheses, for rotation numbers of constant type. Among the translated curves, the invariant curves are characterized as the solutions of a scalar bifurcation equation, from which their existence, stability as well as bifurcation can be easily described.
title A method of reduction for invariant curves of quasiperiodically forced maps
topic Dynamical Systems
url https://arxiv.org/abs/2603.26912