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Countable set of limit cycles for the equation \(dw/dz=P_n(z,w)/Q_n(z,w)\)

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Publication:1972781
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DOI10.1023/A:1021819201777zbMath0989.37048OpenAlexW356699451MaRDI QIDQ1972781

A. A. Shcherbakov, L. Ortiz-Bobadilla, Ernesto Rosales-González

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021819201777


zbMATH Keywords

limit cyclespolynomial differential equation


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)


Related Items (6)

Centennial History of Hilbert's 16th Problem ⋮ Bounded limit cycles of polynomial foliations of \(\mathbb {C}^{2}\) ⋮ Cheap complex limit cycles ⋮ Some open problems on holomorphic foliation theory ⋮ Cyclic stabilizers and infinitely many hyperbolic orbits for pseudogroups on ⋮ Dynamics of local groups of conformal mappings and generic properties of differential equations on \(\mathbb{C}^{2}\)




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