Projections of polynomial vector fields and the Poincaré sphere

DOI10.1006/jdeq.1997.3298zbMath0885.34028OpenAlexW2068912120MaRDI QIDQ1368599

Sebastian Walcher, Helmut Röhrl

Publication date: 30 March 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3298

zbMATH Keywords

Lie derivativePoincaré spherehomogeneous polynomial vector function

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (8)

Polynomial differential equations over the quaternions ⋮ Escape to infinity in the presence of magnetic fields ⋮ A review on octupolar tensors ⋮ Invariant algebraic surfaces of polynomial vector fields in dimension three ⋮ Higher order normal modes ⋮ Eigenvectors of tensors -- a primer ⋮ On the Poincaré problem ⋮ Dynamical system analysis of Einstein-Skyrme model in a Kantowski-Sachs spacetime

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• Nonassociative, real algebras and quadratic differential equations
• Remark on a Conjecture of Kaplan and Yorke
• Boundedness and unboundedness in polynomial differential systems

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