The homoclinic orbits in the Liénard plane
In reply to a question, posed by Roberto Conti, concerning the stability properties of the origin to a pseudolinear system in \(\mathbb{R}^ 2\), the situation is clarified for the well-known Liénard system. The notion of the maximal elliptic sector is shown to play an important role with respect to a zero solution to be a positive global (weak) attractor. The sector consists of the origin and homoclinic orbits, whence the title.
scientific article; zbMATH DE number 765147