Abstract The solution to motion in the vicinity of a KAM torus is constructed. Applying both the KAM theorem and assuming that Hamiltonian motion holds on at least a Cantor set of adjacent tori, the local linearization of a KAM torus can be constructed. A set of eigenvalue-like quantities must be determined to produce a description of local motion that remains bounded. The local motion near a KAM torus involves linear drift, and the Jordan form needs to be generalized to a full symmetric matrix.
Kam Tori Normal Coordinates
2009
Article (Journal)
English
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