This paper presents a version of Dulac's Problem for piecewise analytic vector fields that states conditions for the number of limit cycles around certain minimal sets. A suitable model-theoretic structure is introduced under which a qualitative investigation of the problem is settled.
- Dulac's problem
- Piecewise analytic vector field
- Quasi-regular map
Andrade, K. D. S., Jeffrey, M. R., Martins, R. M., & Teixeira, M. A. (2019). On the Dulac's problem for piecewise analytic vector fields. Journal of Differential Equations, 266(4), 2259-2273. https://doi.org/10.1016/j.jde.2018.08.029