Geometric Properties of Homogeneous Vector Fields of Degree Two in R 3

DOI10.2307/1998338zbMath0484.58020OpenAlexW2378679930MaRDI QIDQ3943708

Maria Izabel Tavares Camacho

Publication date: 1981

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1998338

zbMATH Keywords

structurally stable vector fieldsPoincare-Bendixson theoryLie group of affine transformations of the real linelimit sets of orbitslocal actions of non compact, non abelian Lie groupsMorse-Smale vector fields with no limit cyclesquadratic homogeneous polynomial vector fields in three variablesvector fields on the 2-sphere

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Ordinary differential equations and systems on manifolds (34C40) Stability theory for smooth dynamical systems (37C75) Noncompact Lie groups of transformations (57S20) Morse-Smale systems (37D15)

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