Photo from archive.org
In the present paper, we prove an infinite dimensional reversible Kolmogorov-Arnold-Moser (KAM) theorem. As an application, we study the existence of KAM tori for a class of two dimensional (2D)… Click to show full abstract
In the present paper, we prove an infinite dimensional reversible Kolmogorov-Arnold-Moser (KAM) theorem. As an application, we study the existence of KAM tori for a class of two dimensional (2D) non-Hamiltonian completely resonant beam equations with derivative nonlinearities. The Birkhoff normal form theory is also used since there are no external parameters in the equations.
Keywords:
perturbations linear;
theory;
beam equations;
reversible perturbations;
theory reversible;
kam theory
Journal Title: Mathematische Zeitschrift
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematische Zeitschrift
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!