Wagener, Florian A parametrised version of Moser’s modifying terms theorem. (English) Zbl 1214.37023 Discrete Contin. Dyn. Syst., Ser. S 3, No. 4, 719-768 (2010). One score of the paper is to derive a modifying terms theorem for parametrized families of vector fields, incorporating results on smoothness and Gevrey-regularity. A second motivation is to make the result a convenient tool for quasi-periodic bifurcation theory. As an application, it is given the analysis of the persistence of tori in the quasi-periodic Bogdanov-Takens bifurcation. Reviewer: Sophia L. Kalpazidou (Thessaloniki) Cited in 15 Documents MSC: 37C55 Periodic and quasi-periodic flows and diffeomorphisms 37G99 Local and nonlocal bifurcation theory for dynamical systems Keywords:quasi-periodic tori; modifying terms; normal-internal resonances PDFBibTeX XMLCite \textit{F. Wagener}, Discrete Contin. Dyn. Syst., Ser. S 3, No. 4, 719--768 (2010; Zbl 1214.37023) Full Text: DOI