Planar nonautonomous polynomial equations II. Coinciding sectors
The paper presents some sufficient conditions for the existence of periodic solutions and heteroclinic connections of the equation \[ \dot z=\sum_{j=0}^na_j(t)z^j \] on the complex plane, where \(a_j\) are \(T\)-periodic continuous functions. It is a continuation of the previous research of the author published in the paper: ``Planar nonautonomous polynomial equations: the Riccati equation'' [J. Differ. Equations 244, No.~6, 1304--1328 (2008; Zbl 1147.34035)].
scientific article; zbMATH DE number 5549453
scientific article