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arXiv · 2603.26912

A method of reduction for invariant curves of quasiperiodically forced maps

Amadeu Delshams·Rafael Ortega
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Abstract

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.

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Amadeu Delshams, Rafael Ortega. 2026-03-27. A method of reduction for invariant curves of quasiperiodically forced maps. https://arxiv.org/abs/2603.26912

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