Carrasco, D.; Palacián, J. F.; Vidal, C.; Vidarte, J.; Yanguas, P. Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance. (English) Zbl 1398.37048 J. Nonlinear Sci. 28, No. 4, 1293-1359 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J15 37J40 37J20 53D20 70H08 70H09 PDFBibTeX XMLCite \textit{D. Carrasco} et al., J. Nonlinear Sci. 28, No. 4, 1293--1359 (2018; Zbl 1398.37048) Full Text: DOI Link
Meyer, Kenneth R.; Palacián, Jesús F.; Yanguas, Patricia Singular reduction of resonant Hamiltonians. (English) Zbl 1435.37087 Nonlinearity 31, No. 6, 2854-2894 (2018). MSC: 37J40 37J46 70F10 70K65 70H12 PDFBibTeX XMLCite \textit{K. R. Meyer} et al., Nonlinearity 31, No. 6, 2854--2894 (2018; Zbl 1435.37087) Full Text: DOI Link
Palacián, Jesús; Yanguas, Patricia Equivariant \(N\)-DOF Hamiltonians via generalized normal forms. (English) Zbl 1046.37037 Commun. Contemp. Math. 5, No. 3, 449-480 (2003). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J40 34C20 34C14 70H09 PDFBibTeX XMLCite \textit{J. Palacián} and \textit{P. Yanguas}, Commun. Contemp. Math. 5, No. 3, 449--480 (2003; Zbl 1046.37037) Full Text: DOI
Ferrer, Sebastián; Hanßmann, Heinz; Palacián, Jesús; Yanguas, Patricia On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials. (English) Zbl 1037.34031 J. Geom. Phys. 40, No. 3-4, 320-369 (2002). Reviewer: Antonio Cañada Villar (Granada) MSC: 34C15 34C20 34C14 70H08 70H15 PDFBibTeX XMLCite \textit{S. Ferrer} et al., J. Geom. Phys. 40, No. 3--4, 320--369 (2002; Zbl 1037.34031) Full Text: DOI
Palacián, Jesús; Yanguas, Patricia Generalized normal forms for polynomial vector fields. (English) Zbl 1019.37032 J. Math. Pures Appl., IX. Sér. 80, No. 4, 445-469 (2001). MSC: 37G05 34C14 34C20 70H33 70K45 70K60 PDFBibTeX XMLCite \textit{J. Palacián} and \textit{P. Yanguas}, J. Math. Pures Appl. (9) 80, No. 4, 445--469 (2001; Zbl 1019.37032) Full Text: DOI