3 papers
Higher Order Structure along Nilpotent Eigendirections in Planar Vector Fields
Roberto Albarran-García, Martha Alvarez Ramírez, Marco Polo García-Rivera
We study a distinguished one dimensional restriction associated with planar vector fields whose linearization is a nonzero nilpotent matrix of index two. This restriction admits an…
An exact structural identity and its normal form consequences in a modified Leslie--Gower model
Roberto Albarrán-García, Martha Alvarez-Ramírez, Marco Polo García-Rivera
Zhao and Zhao (2026) established a codimension-four Bogdanov--Takens singularity in a modified Leslie--Gower predator--prey model through a recursive normal form computation. We sh…
Hopf-Bautin and homoclinic bifurcations in a Saltzman-Maasch model with cubic feedback
Marco Polo García-Rivera, Martha Alvarez-Ramírez, Hildeberto Jardón-Kojakhmetov
This paper investigates a deterministic variant of the Saltzman-Maasch model for Pleistocene glacial cycles, formulated as a three-dimensional dynamical system with cubic feedback…