Configurations of limit cycles and planar polynomial vector fields.
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Publication:1428643
DOI10.1016/j.jde.2003.10.008zbMath1055.34061OpenAlexW1981798823MaRDI QIDQ1428643
Jaume Llibre, Gerardo Rodriguez
Publication date: 29 March 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2003.10.008
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Periodic orbits of vector fields and flows (37C27)
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Cites Work
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- Quadratic vector fields in the plane have a finite number of limit cycles
- A class of vectorfields on \(S^ 2\) that are topologically equivalent to polynomial vectorfields
- Inverse problems for dynamical systems
- A characterization of the \(\omega\)-limit sets of planar continuous dynamical systems
- On the nonexistence, existence and uniqueness of limit cycles
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