EconPapers    
Economics at your fingertips  
 

A parametrised version of Moser's modifying terms theorem

Florian Wagener

No 09-06, CeNDEF Working Papers from Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance

Abstract: A sharpened version of Moser's `modifying terms' KAM theorem is derived, and it is shown how this theorem can be used to investigate the persistence of invariant tori in general situations, including those where some of the Floquet exponents of the invariant torus may vanish. The result is `structural' and works for dissipative, Hamiltonian, reversible and symmetric vector fields. These results are derived for the contexts of real analytic, Gevrey regular, ultradifferentiable and finitely differentiable perturbed vector fields. In the first two cases, the conjugacy constructed in the theorem is shown to be Gevrey smooth in the sense of Whitney on the set of parameters satisfying a "Diophantine" non-resonance condition.

Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://cendef.uva.nl/binaries/content/assets/subsi ... er.pdf?1363343341398 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ams:ndfwpp:09-06

Access Statistics for this paper

More papers in CeNDEF Working Papers from Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance Dept. of Economics and Econometrics, Universiteit van Amsterdam, Roetersstraat 11, NL - 1018 WB Amsterdam, The Netherlands. Contact information at EDIRC.
Bibliographic data for series maintained by Cees C.G. Diks ().

 
Page updated 2025-03-22
Handle: RePEc:ams:ndfwpp:09-06