Bifurcation of limit cycles and pseudo-isochronous center at degenerate singular point in a septic system

In this literature we are concerned with the bifurcation of limit cycles and pseudo-isochronous center conditions at degenerate singular point in a polynomial differential system of degree seven. The key contribution of this paper is to give an example of septic system with 8 limit cycles bifurcated from the degenerate singular point and list its pseudo-isochronous center conditions.