TY  - JOUR
ID  - Wilczyński2013
LB  - Wilczyński2013
AU  - Wilczyński, Paweł
TI  - Planar nonautonomous polynomial equations V. The Abel equation
ST  - Planar nonautonomous polynomial equations V. The Abel equation
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2013
VL  - 33
IS  - 1
SP  - 175
EP  - 189
DO  - http://dx.doi.org/10.7494/OpMath.2013.33.1.175
UR  - http://dx.doi.org/10.7494/OpMath.2013.33.1.175
AB  - We give a full description of the dynamics of the Abel equation \(\dot{z}=z^3+f(t)\) for some special complex valued \(f\). We also prove the existence of at least three periodic solutions for equations of the form \(\dot{z}=z^n+f(t)\) for odd \(n \geq 5\).
KW  - periodic orbits
KW  - polynomial equations
SN  - 1232-9274
ER  -