2 papers
math.CA2019
A new approach for the study of limit cycles
J. D. García-Saldaña, A. Gasull, H. Giacomini
We prove that star-like limit cycles of any planar polynomial system can also be seen either as solutions defined on a given interval of a new associated planar non-autonomous poly…
math.DS2012
Bifurcation values for a family of planar vector fields of degree five
J. D. García-Saldaña, A. Gasull, H. Giacomini
We study the number of limit cycles and the bifurcation diagram in the Poincaré sphere of a one-parameter family of planar differential equations of degree five $\dot {\bf x}=X_b({…