TL;DR
This paper provides a functional analytic perspective on KAM theory, integrating it into the broader context of deformations and singularity theory, based on lectures delivered at the University of Ouargla.
Contribution
It introduces a novel functional analytic framework for KAM theory, connecting it with deformation and singularity theories.
Findings
Unified framework for KAM and singularity theory
Enhanced understanding of deformations in dynamical systems
Lectures serve as an educational resource
Abstract
Lectures given on KAM theory at the University of Ouargla (Algeria). I present a functional analytic treatment of the subject which includes KAM theory into the general framework of deformations and singularity theory.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds · Analytic and geometric function theory