Global bifurcation analysis of limit cycles for a generalized van der Pol system
- Schneider, Klaus R.
- Grin, Alexander
2010 Mathematics Subject Classification
- 34C05 34C23 34E15
- Global bifurcation analysis, generalized van der Pol system, Dulac--Cherkas function, rotated vector field, singularly perturbed system
We present a new approach for the global bifurcation analysis of limit cycles for a generalized van der Pol system. It is based on the existence of a Dulac-Cherkas function and on applying two topologically equivalent systems: one of them is a rotated vector field, the other one is a singularly perturbed system.