Discussion on the limit cycles of the Lev Ginzburg equation by M. Bellamy and R.E. Mickens, Journal of Sound and Vibration 308 (2007) 337–342

The authors M. Bellamy and R.E. Mickens in the article “Hopf bifurcation analysis of the Lev Ginzburg equation” published in Journal of Sound and Vibration 308 (2007) 337–342, claimed that this differential equation in the plane can exhibit a limit cycle. Here we prove that the Lev Ginzburg differential equation has no limit cycles.