Limit cycle analysis in a perturbed quadratic reversible system

Using both qualitative analysis and numerical simulations, we investigated the limit cycle bifurcations in a perturbed quadratic reversible system. The investigation is based on detection functions which are particularly effective for perturbed quadratic reversible systems. The research shows that the perturbed quadratic reversible system has 3 limit cycles. By numerical simulations, the distributed orderliness of the 3 limit cycles is observed, and their exact places are determined. The study also indicates that each of the 3 limit cycles passes through a corresponding exact point, respectively.