The method of holomorphic foliations in planar periodic systems: The case of Riccati equations

DOI10.1006/jdeq.1999.3721zbMath0970.34075OpenAlexW1979262496MaRDI QIDQ1587633

Henryk Żołądek

Publication date: 13 October 2001

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

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3721

zbMATH Keywords

periodic solutionsRiccati equationsholomorphic foliationsholomorphic polynomial differential equationsplanar periodic systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (9)

The existence and stability of two periodic solutions on a class of Riccati's equation ⋮ Planar nonautonomous polynomial equations: the Riccati equation ⋮ Positive oriented periodic solutions of the first-order complex ODE with polynomial nonlinear part ⋮ Periodic planar systems without periodic solutions ⋮ Periodic solutions of quaternionic-valued ordinary differential equations ⋮ Irreducible holonomy groups and Riccati foliations in higher complex dimension ⋮ Planar nonautonomous polynomial equations II. Coinciding sectors ⋮ On periodic solutions inside isolating chains ⋮ Poisson–Hopf deformations of Lie–Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra

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