Existence of KAM tori for presymplectic vector fields

We prove the existence of a torus that is invariant with respect to the flow of a vector field that preserves the presymplectic form in an exact presymplectic manifold. The flow on this invariant torus is conjugate to a linear flow on a torus with a Diophantine velocity vector. The proof has an...

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Bibliographic Details
Main Authors: Sean Bauer, Nikola P. Petrov
Format: Article
Language:English
Published: Texas State University 2020-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/126/abstr.html