حول الدورات الحدية المتفرعة عن مركز غير خطي بتطبيق نظرية المتوسط

Abstract

We study the averaging method of some differential systems with non-linear center. To understand more about this method, we recall some of the basic concepts and theorems. We start by defining differential equations, limit cycles,…down to the averaging method of some differential systems with linear center. Then, we briefly mention some of the previously proposed proofs and results for both cases, the stability of the orbits and the nature of their center (linear or non-linear).