Research on the properties of some planar polynomial differential equations

DOI10.1016/J.AMC.2011.11.062zbMath1251.34048OpenAlexW2007024718MaRDI QIDQ426631

Zhengxin Zhou

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.062

zbMATH Keywords

periodic solutionreflecting functioncenter conditionsimplest system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (2)

Subharmonic solutions of Hill's equation ⋮ A new method for research on the center-focus problem of differential systems

Cites Work

• Computing integrability conditions for a cubic differential system
• Quadratic systems with a linear reflecting function
• On the qualitative behavior of periodic solutions of differential systems
• Differential systems, the mapping over period for which is represented by a product of three exponential matrices
• The structure of reflective function of polynomial differential systems
• Cubic systems and Abel equations
• Reflection function and the small parameter method
• On the reflective function of polynomial differential system.
• Time symmetry preserving perturbations of differential systems
• Non-autonomous equations related to polynomial two-dimensional systems
• Some new results on Abel equations
• A reflecting function of a family of functions

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