Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673000 | Indagationes Mathematicae | 2012 | 14 Pages |
Abstract
The paper consists of two sections. In Section 1, we give a short review of KAM theory with an emphasis on Whitney smooth families of invariant tori in typical Hamiltonian and reversible systems. In Section 2, we prove a KAM-type result for non-autonomous reversible systems (depending quasi-periodically on time) within the almost unexplored reversible context 2. This context refers to the situation where dimFixG<12codimT, here FixG is the fixed point manifold of the reversing involution GG and TT is the invariant torus one deals with.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Mikhail B. Sevryuk,