KAM theory for the reversible perturbations of 2D linear beam equations
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02575-9
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… read more here.
Keywords: perturbations linear; theory; beam equations; reversible perturbations ... See more keywords
Analysis of Transport and Mixing Phenomenon to Invariant Manifolds Using LCS and KAM Theory Approach in Unsteady Dynamical Systems
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DOI: 10.1109/access.2020.3011569
Abstract: The Lagrangian approach for the two-dimensional incompressible fluid flows has been studied with the help of dynamical systems techniques: Kolmogorov-Arnold-Moser (KAM) theory, stable, unstable manifold structures, and Lagrangian coherent structures (LCSs). For the time-dependent perturbation… read more here.
Keywords: mixing phenomenon; transport; transport mixing; dynamical systems ... See more keywords
Families of invariant tori in KAM theory: Interplay of integer characteristics
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DOI: 10.1134/s156035471706003x
Abstract: The purpose of this brief note is twofold. First, we summarize in a very concise form the principal information on Whitney smooth families of quasi-periodic invariant tori in various contexts of KAM theory. Our second… read more here.
Keywords: invariant tori; families invariant; tori kam; theory interplay ... See more keywords