TL;DR
This paper discusses a method to bypass the non-degeneracy condition in the KAM theorem, potentially broadening its applicability in dynamical systems.
Contribution
It introduces a way to circumvent the non-degeneracy condition in the KAM theorem, offering a novel approach to its proof or application.
Findings
Non-degeneracy condition can be bypassed in KAM theory
Potential extension of KAM applicability
Published revisions in 2010 and 2012
Abstract
In this short note, I explain how the non-degeneracy condition of the KAM can be bypassed. The first version of the note has been submitted for publication back in 2010 and this version in 2012.
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Taxonomy
TopicsMathematical functions and polynomials · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory