Bifurcation of limit cycles of a quadratic reversible system with perturbed terms

摘要

Bifurcation of limit cycles of a quadratic reversible system with perturbed terms is investigated by using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the perturbed quadratic reversible system. The study reveals that, for the quadratic reversible system, it has 3 limit cycles under quartic perturbed terms; it has 2 limit cycles under cubic perturbed terms; and it has one limit cycle under quadratic perturbed terms. By using method of numerical simulation, the distributed orderliness of these limit cycles is observed, and their nicety places are determined. The study also indicates that each of these limit cycles passes the corresponding nicety point.