On periodic solutions of planar polynomial differential equations with periodic coefficients

DOI10.1006/jdeq.1994.1141zbMath0811.34031OpenAlexW1982845646MaRDI QIDQ1338297

Roman Srzednicki

Publication date: 7 May 1995

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

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1141

zbMATH Keywords

periodic solutionplanar polynomial differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations in the complex domain (34M99)

Related Items (15)

Isolating segments and symbolic dynamics ⋮ Periodic and bounded solutions in blocks for time-periodic nonautonomous ordinary differential equations ⋮ A geometric method for detecting chaotic dynamics ⋮ On detection of chaotic dynamics in ordinary differential equations ⋮ Planar nonautonomous polynomial equations: the Riccati equation ⋮ On detecting periodic solutions and chaos in the time periodically forced ODEs ⋮ Positive oriented periodic solutions of the first-order complex ODE with polynomial nonlinear part ⋮ Periodic solutions of quaternionic-valued ordinary differential equations ⋮ Conley index of Poincaré maps in isolating segments ⋮ Planar nonautonomous polynomial equations II. Coinciding sectors ⋮ Quaternionic-valued ordinary differential equations. The Riccati equation ⋮ On periodic solutions inside isolating chains ⋮ The method of holomorphic foliations in planar periodic systems: The case of Riccati equations ⋮ Remark on complicated dynamics of some planar system ⋮ Multiplicity of periodic solutions for the planar polynomial equation

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