KAM THEORY. Part 3. Applications

2018/10/22 by Mauricio Garay, Garay, Mauricio, Duco van Straten +1
Mathematics · Physics and Astronomy · #Geometric and Algebraic Topology #Quantum chaos and dynamical systems #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1810.09423

Abstract

We apply the general normal form theorems in Kolmogorov spaces to three classical cases: deformations of hypersurface singularities, normal forms of vector fields and invariant tori in Hamiltonian systems.

Related

• KAM Theory. Part I. Group actions and the KAM problem
• Quantitative KAM normal forms and sharp measure estimates
• KAM Theory. Part II. Kolmogorov spaces
• A Normal Form without small divisors
• KAM for the non-linear Beam equation 2: A normal form theorem