A KAM Theorem for a Class of Reversible Systems With a Large Perturbation
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DOI: 10.1002/mma.10780
Abstract: In the present paper, for a class of reversible systems with a large nonautonomous perturbation, we prove that there is an invariant torus for almost all given Diophantine frequency vectors. As for application, we also… read more here.
Keywords: kam theorem; reversible systems; perturbation; systems large ... See more keywords
A KAM Theorem for a Class of Nearly Integrable Symplectic Mappings
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DOI: 10.1007/s10884-015-9427-0
Abstract: This paper considers a class of nearly integrable twist symplectic mappings with generating functions and proves the persistence of lower dimensional elliptic invariant tori under Rüssmann’s non-degeneracy conditions. read more here.
Keywords: kam theorem; symplectic mappings; nearly integrable; theorem class ... See more keywords