On the maximum number of limit cycles of a planar differential system
In this work, we are interested in the study of the limit cycles of a perturbed differential system in R2, given as follows \left\{ \begin{array}{l} \dot{x}=y, \\ \dot{y}=-x-\varepsilon (1+\sin ^{m}(\theta ))\psi (x,y),% \end{array}% \right. where ε is small enough, m is a non-negative integer, tan(θ)=y/x, and ψ(x,y) is a real polynomial of degree n≥1. We use the averaging theory of first-order to provide an upper bound for the maximum number of limit cycles. In the end, we present some numerical examples to illustrate the theoretical results.
- حق عضویت دریافتی صرف حمایت از نشریات عضو و نگهداری، تکمیل و توسعه مگیران میشود.
- پرداخت حق اشتراک و دانلود مقالات اجازه بازنشر آن در سایر رسانههای چاپی و دیجیتال را به کاربر نمیدهد.