×

Dynamics of polynomial systems at infinity. (English) Zbl 0984.34025

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)

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.)
PDFBibTeX XMLCite
Full Text: EuDML EMIS