Tian, Yuzhou; Zhao, Yulin Global phase portraits and bifurcation diagrams for Hamiltonian systems of linear plus quartic homogeneous polynomials symmetric with respect to the \(y\)-axis. (English) Zbl 1442.37070 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111658, 27 p. (2020). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J20 70K05 70H33 34C05 34C07 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{Y. Zhao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111658, 27 p. (2020; Zbl 1442.37070) Full Text: DOI
Llibre, Jaume; Martínez, Y. Paulina; Vidal, Claudio Phase portraits of linear type centers of polynomial Hamiltonian systems with Hamiltonian function of degree 5 of the form \(H = H_1(x)+H_2(y)\). (English) Zbl 1412.37059 Discrete Contin. Dyn. Syst. 39, No. 1, 75-113 (2019). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37J25 37C15 37C10 34C07 70K05 PDFBibTeX XMLCite \textit{J. Llibre} et al., Discrete Contin. Dyn. Syst. 39, No. 1, 75--113 (2019; Zbl 1412.37059) Full Text: DOI
Steeb, W.-H.; Villet, C. M.; Kunick, A. Chaotic behaviour of a Hamiltonian with a quartic potential. (English) Zbl 0569.70021 J. Phys. A 18, 3269-3273 (1985). MSC: 70Kxx 37D45 34C15 70H05 PDFBibTeX XMLCite \textit{W. H. Steeb} et al., J. Phys. A, Math. Gen. 18, 3269--3273 (1985; Zbl 0569.70021) Full Text: DOI