On the polynomial differential systems having polynomial first integrals
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Publication:414797
DOI10.1016/j.bulsci.2011.11.003zbMath1250.34025OpenAlexW2041199570MaRDI QIDQ414797
Jaume Llibre, Belén García, Jesús S. Pérez del Río
Publication date: 11 May 2012
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2011.11.003
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items (2)
On the Local Stability of a Certain Class of Polynomial Differential System ⋮ Bounding the number of remarkable values via Jouanolou's theorem
Cites Work
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- Equations de Pfaff algébriques
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- On the remarkable values of the rational first integrals of polynomial vector fields
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- Elementary First Integrals of Differential Equations
- Liouvillian First Integrals of Differential Equations
- Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors
- On the polynomial first integrals of the (a,b,c) Lotka–Volterra system
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