Reducible KAM tori for higher dimensional wave equations under nonlocal and forced perturbation
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DOI: 10.1063/1.5139667
Abstract: In this paper, we prove an infinite dimensional Kolmogorov-Arnold-Moser theorem. As an application, it is shown that there are many small-amplitude linearly-stable quasi-periodic solutions for higher dimensional wave equations with a real Fourier multiplier, which… read more here.
Keywords: higher dimensional; dimensional wave; reducible kam; nonlocal forced ... See more keywords
Explicit nondegeneracy conditions of KAM tori for the planar N-point vortex systems
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0138452
Abstract: In this paper, we give an explicit nondegeneracy condition for the existence of Kolmogorov-Arnold-Moser (KAM) tori of an N-point vortex system on the plane by using the method of reduction via generalized Jacobi coordinates and… read more here.
Keywords: system; kam tori; nondegeneracy conditions; point vortex ... See more keywords