Affiliation:
1. Institute of Mathematics of National Academy of Sciences of Armenia , Yerevan , Armenia
Abstract
Abstract
This article discusses the rotations (windings) of solutions to the basic
system of equations
y
′
=
F
1
(
x
,
y
)
{y^{\prime}=F_{1}(x,y)}
and
x
′
=
F
2
(
x
,
y
)
{x^{\prime}=F_{2}(x,y)}
. This allows us to return to the topic of known
limit cycles from a much broader point of view, in particular, it makes it
possible to describe the conditions for the existence of limit cycles.