Some properties of planar polynomial systems of even degree
| Autor: | Massimo Villarini, Marcello Galeotti |
|---|---|
| Rok vydání: | 1992 |
| Předmět: |
Discrete mathematics
Planar polynomial vector fields Alternating polynomial Applied Mathematics Matrix polynomial Reciprocal polynomial Stable polynomial Minimal polynomial (linear algebra) TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY unbounded solutions Degree of a polynomial compactification of planar vector fields Monic polynomial Characteristic polynomial Mathematics |
| Zdroj: | Annali di Matematica Pura ed Applicata (1923 -). 161:299-313 |
| ISSN: | 1618-1891 0373-3114 |
| DOI: | 10.1007/bf01759643 |
| Popis: | We study autonomous systems in the plane of polynomial type. We obtain conditions for the existence of unbounded trajectories of such systems. As a consequence we prove that it does not exist a planar polynomial system of even degree with a global center. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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