Kappos, Efthimios Dynamics of polynomial systems at infinity. (English) Zbl 0984.34025 Electron. J. Differ. Equ. 2001, Paper No. 22, 15 p. (2001). Summary: Employing the Newton polytope and a generalization of the classical Poincaré compactification, the author obtains a general method for obtaining dynamics on compact manifolds whose trajectories are almost everywhere in one-to-one correspondence with the trajectories of a flow in the Euclidean space. Reviewer: O.Akinyele (Bowie) Cited in 3 Documents MSC: 34C11 Growth and boundedness of solutions to ordinary differential equations 37B30 Index theory for dynamical systems, Morse-Conley indices 34D23 Global stability of solutions to ordinary differential equations 52B12 Special polytopes (linear programming, centrally symmetric, etc.) Keywords:dynamical systems; Newton polytopes; Poincaré and Bendixson spheres PDFBibTeX XMLCite \textit{E. Kappos}, Electron. J. Differ. Equ. 2001, Paper No. 22, 15 p. (2001; Zbl 0984.34025) Full Text: EuDML EMIS