Open AccessPlanar nonautonomous polynomial equations V. The Abel equation
Author(s) -
Paweł Wilczyński
Publication year - 2013
Publication title -
rocznik akademii górniczo-hutniczej im. stanisława staszica. opuscula mathematica/opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2013.33.1.175
Subject(s) - mathematics , planar , polynomial , mathematical analysis , computer science , computer graphics (images)
We give a full description of the dynamics of the Abel equation \(z'=z^3+f(t)\) for some special complex valued \(f\). We also prove the existence of at least three periodic solutions for equations of the form \(z'=z^n+f(t)\) for odd \(n \geq 5\)