Bifurcation of Limit Cycles of a Perturbed Integrable Non-Hamiltonian System

Bifurcation of limit cycles of a perturbed integrable non-Hamiltonian system is investigated 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 8 limit cycles using detection function approach, and two different distributed orderliness of 8 limit cycles for the system are shown. By using method of numerical simulation, these limit cycles are observed and their nicety places are determined. The study also indicates that each of these limit cycles passes the corresponding nicety point.