Simulation analysis of limit cycles of a perturbed integrable non-Hamiltonian system

Bifurcation of limit cycles of a perturbed integrable non-Hamiltonian system is investigated by using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the perturbed integrable non-Hamiltonian system. The study reveals that the system has 4 limit cycles. By using method of numerical simulation, the distributed orderliness of the 4 limit cycles is observed, and their nicety places are determined. The study also indicates that each of the 4 limit cycles passes the corresponding nicety point.