Modified fractional Rayleigh–Liénard oscillator and the renormalisation group (RG) method
摘要
We apply the technique of renormalisation group (RG) to investigate periodic solutions of the modified Rayleigh–Liénard oscillator, both in presence of usual integer order damping and fractional order damping. In the latter case, a parametric driven periodic external force is also taken into account. The existence of limit cycle solutions is evident in both scenarios.