Resumen de Hopf bifurcation from infinity for planar control systems

Jaume Llibre, Enrique Ponce Núñez

• Symmetric piecewise linear bi-dimensional systems are very common in control engineering. They constitute a class of non-differentiable vector fields for which classical Hopf bifurcation theorems are not applicable. For such systems, sufficient and necessary conditions for bifurcation of a limit cycle from the periodic orbit at infinity are given.