Isochronous center conditions for non homogenous rigid systems

Abstract EN

The purpose of this paper is to investigate planar analytic system which has a center–focus fixed point at the origin and whose angular speed is constant, which is uniformly isochronous system.

The aim is to find necessary and sufficient conditions for the origin to be isochronous center of system for some particular cases of rigid systems and information is obtained about the number of limit cycles and also can estimates then be obtained for the number of small amplitude limit cycles.